102001302023440 has 160 divisors (see below), whose sum is σ = 240413908775040. Its totient is φ = 40241215107072.

The previous prime is 102001302023417. The next prime is 102001302023441. The reversal of 102001302023440 is 44320203100201.

It is a super-2 number, since 2×102001302023440² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102001302023441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15870745507 + ... + 15870751933.

It is an arithmetic number, because the mean of its divisors is an integer number (1502586929844).

Almost surely, 2^{102001302023440} is an apocalyptic number.

102001302023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001302023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120206954387520).

102001302023440 is an abundant number, since it is smaller than the sum of its proper divisors (138412606751600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102001302023440 is a wasteful number, since it uses less digits than its factorization.

102001302023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102001302023440 its reverse (44320203100201), we get a palindrome (146321505123641).

The spelling of 102001302023440 in words is "one hundred two trillion, one billion, three hundred two million, twenty-three thousand, four hundred forty".