100100211021 has 32 divisors (see below), whose sum is σ = 156520496000. Its totient is φ = 63051571584.

The previous prime is 100100211011. The next prime is 100100211023. The reversal of 100100211021 is 120112001001.

It is a happy number.

It is not a de Polignac number, because 100100211021 - 2¹¹ = 100100208973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100210994 and 100100211012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100211023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70216 + ... + 452913.

It is an arithmetic number, because the mean of its divisors is an integer number (4891265500).

Almost surely, 2^100100211021 is an apocalyptic number.

It is an amenable number.

100100211021 is a deficient number, since it is larger than the sum of its proper divisors (56420284979).

100100211021 is a wasteful number, since it uses less digits than its factorization.

100100211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523530 (or 523524 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100211021 its reverse (120112001001), we get a palindrome (220212212022).

The spelling of 100100211021 in words is "one hundred billion, one hundred million, two hundred eleven thousand, twenty-one".