101020102000000 has 112 divisors (see below), whose sum is σ = 251560515531060. Its totient is φ = 40408040000000.

The previous prime is 101020101999997. The next prime is 101020102000031. The reversal of 101020102000000 is 201020101.

It is a super-2 number, since 2×101020102000000² (a number of 29 digits) contains 22 as substring.

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 13 ways as a sum of consecutive naturals, for example, 23255026 + ... + 27255025.

Almost surely, 2^{101020102000000} is an apocalyptic number.

101020102000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020102000000 is an abundant number, since it is smaller than the sum of its proper divisors (150540413531060).

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

101020102000000 is an frugal number, since it uses more digits than its factorization.

101020102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50510095 (or 50510058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101020102000000 its reverse (201020101), we get a palindrome (101020303020101).

The spelling of 101020102000000 in words is "one hundred one trillion, twenty billion, one hundred two million", and thus it is an aban number.