102011000101020 has 144 divisors (see below), whose sum is σ = 316023509587968. Its totient is φ = 26623603808640.

The previous prime is 102011000100991. The next prime is 102011000101051. The reversal of 102011000101020 is 20101000110201.

It is a happy number.

It is a super-2 number, since 2×102011000101020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102011000100993 and 102011000101011.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 570343005 + ... + 570521835.

It is an arithmetic number, because the mean of its divisors is an integer number (2194607705472).

Almost surely, 2^{102011000101020} is an apocalyptic number.

102011000101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011000101020 is an abundant number, since it is smaller than the sum of its proper divisors (214012509486948).

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

102011000101020 is a wasteful number, since it uses less digits than its factorization.

102011000101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246320 (or 246315 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102011000101020 its reverse (20101000110201), we get a palindrome (122112000211221).

The spelling of 102011000101020 in words is "one hundred two trillion, eleven billion, one hundred one thousand, twenty".