100210020011020 has 24 divisors (see below), whose sum is σ = 210684890312064. Its totient is φ = 40037560711296.

The previous prime is 100210020010967. The next prime is 100210020011039. The reversal of 100210020011020 is 20110020012001.

It is a super-2 number, since 2×100210020011020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100210020010988 and 100210020011006.

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 7 ways as a sum of consecutive naturals, for example, 2902938129 + ... + 2902972648.

It is an arithmetic number, because the mean of its divisors is an integer number (8778537096336).

Almost surely, 2^{100210020011020} is an apocalyptic number.

100210020011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210020011020 is an abundant number, since it is smaller than the sum of its proper divisors (110474870301044).

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

100210020011020 is a wasteful number, since it uses less digits than its factorization.

100210020011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805911649 (or 5805911647 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210020011020 its reverse (20110020012001), we get a palindrome (120320040023021).

The spelling of 100210020011020 in words is "one hundred trillion, two hundred ten billion, twenty million, eleven thousand, twenty".