100102201011020 has 96 divisors (see below), whose sum is σ = 233691940048896. Its totient is φ = 35767882310400.

The previous prime is 100102201010957. The next prime is 100102201011031. The reversal of 100102201011020 is 20110102201001.

It is a super-2 number, since 2×100102201011020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102201010992 and 100102201011010.

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 31 ways as a sum of consecutive naturals, for example, 801351407 + ... + 801476313.

It is an arithmetic number, because the mean of its divisors is an integer number (2434291042176).

Almost surely, 2^{100102201011020} is an apocalyptic number.

100102201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102201011020 is an abundant number, since it is smaller than the sum of its proper divisors (133589739037876).

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

100102201011020 is a wasteful number, since it uses less digits than its factorization.

100102201011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224391 (or 224389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102201011020 its reverse (20110102201001), we get a palindrome (120212303212021).

The spelling of 100102201011020 in words is "one hundred trillion, one hundred two billion, two hundred one million, eleven thousand, twenty".