20420102101000 has 256 divisors, whose sum is σ = 56384520192000. Its totient is φ = 6773681376000.

The previous prime is 20420102100977. The next prime is 20420102101109. The reversal of 20420102101000 is 10120102402.

It is a happy number.

It is a super-2 number, since 2×20420102101000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160290201 + ... + 1160307799.

It is an arithmetic number, because the mean of its divisors is an integer number (220252032000).

Almost surely, 2^{20420102101000} is an apocalyptic number.

20420102101000 is a gapful number since it is divisible by the number (20) 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 20420102101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192260096000).

20420102101000 is an abundant number, since it is smaller than the sum of its proper divisors (35964418091000).

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

20420102101000 is a wasteful number, since it uses less digits than its factorization.

20420102101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23005 (or 22991 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20420102101000 its reverse (10120102402), we get a palindrome (20430222203402).

The spelling of 20420102101000 in words is "twenty trillion, four hundred twenty billion, one hundred two million, one hundred one thousand".