100210010121 has 48 divisors (see below), whose sum is σ = 164153283840. Its totient is φ = 58398278400.

The previous prime is 100210010099. The next prime is 100210010123. The reversal of 100210010121 is 121010012001.

It is a happy number.

It is not a de Polignac number, because 100210010121 - 2¹⁵ = 100209977353 is a prime.

It is a super-2 number, since 2×100210010121² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100210010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499021 + ... + 6514421.

It is an arithmetic number, because the mean of its divisors is an integer number (3419860080).

Almost surely, 2^100210010121 is an apocalyptic number.

It is an amenable number.

100210010121 is a deficient number, since it is larger than the sum of its proper divisors (63943273719).

100210010121 is a wasteful number, since it uses less digits than its factorization.

100210010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18366 (or 18363 counting only the distinct ones).

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

Adding to 100210010121 its reverse (121010012001), we get a palindrome (221220022122).

The spelling of 100210010121 in words is "one hundred billion, two hundred ten million, ten thousand, one hundred twenty-one".