10100213121 has 32 divisors (see below), whose sum is σ = 14131330560. Its totient is φ = 6410686464.

The previous prime is 10100213113. The next prime is 10100213131. The reversal of 10100213121 is 12131200101.

It is not a de Polignac number, because 10100213121 - 2³ = 10100213113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100213097 and 10100213106.

It is not an unprimeable number, because it can be changed into a prime (10100213131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985801 + ... + 995993.

It is an arithmetic number, because the mean of its divisors is an integer number (441604080).

Almost surely, 2^10100213121 is an apocalyptic number.

It is an amenable number.

10100213121 is a deficient number, since it is larger than the sum of its proper divisors (4031117439).

10100213121 is a wasteful number, since it uses less digits than its factorization.

10100213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425.

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

Adding to 10100213121 its reverse (12131200101), we get a palindrome (22231413222).

The spelling of 10100213121 in words is "ten billion, one hundred million, two hundred thirteen thousand, one hundred twenty-one".