100020011112021 has 512 divisors, whose sum is σ = 205365229977600. Its totient is φ = 41533584261120.

The previous prime is 100020011111989. The next prime is 100020011112079. The reversal of 100020011112021 is 120211110020001.

It is not a de Polignac number, because 100020011112021 - 2⁵ = 100020011111989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020011111988 and 100020011112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020011112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7465844695 + ... + 7465858091.

It is an arithmetic number, because the mean of its divisors is an integer number (401103964800).

Almost surely, 2^{100020011112021} is an apocalyptic number.

100020011112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020011112021 is an abundant number, since it is smaller than the sum of its proper divisors (105345218865579).

100020011112021 is a wasteful number, since it uses less digits than its factorization.

100020011112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13689.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100020011112021 its reverse (120211110020001), we get a palindrome (220231121132022).

The spelling of 100020011112021 in words is "one hundred trillion, twenty billion, eleven million, one hundred twelve thousand, twenty-one".