102011311020 has 96 divisors (see below), whose sum is σ = 296886336768. Its totient is φ = 26148863232.

The previous prime is 102011311007. The next prime is 102011311033. The reversal of 102011311020 is 20113110201.

It is an interprime number because it is at equal distance from previous prime (102011311007) and next prime (102011311033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102011310987 and 102011311005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92554 + ... + 461073.

It is an arithmetic number, because the mean of its divisors is an integer number (3092566008).

Almost surely, 2^102011311020 is an apocalyptic number.

102011311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011311020 is an abundant number, since it is smaller than the sum of its proper divisors (194875025748).

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

102011311020 is a wasteful number, since it uses less digits than its factorization.

102011311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553759 (or 553757 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102011311020 its reverse (20113110201), we get a palindrome (122124421221).

The spelling of 102011311020 in words is "one hundred two billion, eleven million, three hundred eleven thousand, twenty".