100020211011021 has 64 divisors (see below), whose sum is σ = 163455700193280. Its totient is φ = 53135749094400.

The previous prime is 100020211011011. The next prime is 100020211011113. The reversal of 100020211011021 is 120110112020001.

It is not a de Polignac number, because 100020211011021 - 2⁷ = 100020211010893 is a prime.

It is a super-2 number, since 2×100020211011021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100020211010988 and 100020211011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020211011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6428305 + ... + 15535878.

It is an arithmetic number, because the mean of its divisors is an integer number (2553995315520).

Almost surely, 2^{100020211011021} is an apocalyptic number.

It is an amenable number.

100020211011021 is a deficient number, since it is larger than the sum of its proper divisors (63435489182259).

100020211011021 is a wasteful number, since it uses less digits than its factorization.

100020211011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21964426.

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

Adding to 100020211011021 its reverse (120110112020001), we get a palindrome (220130323031022).

The spelling of 100020211011021 in words is "one hundred trillion, twenty billion, two hundred eleven million, eleven thousand, twenty-one".