100210013121 has 32 divisors (see below), whose sum is σ = 138532785408. Its totient is φ = 64383897600.

The previous prime is 100210013119. The next prime is 100210013159. The reversal of 100210013121 is 121310012001.

It is not a de Polignac number, because 100210013121 - 2¹ = 100210013119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210013097 and 100210013106.

It is not an unprimeable number, because it can be changed into a prime (100210018121) 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, 5908165 + ... + 5925101.

It is an arithmetic number, because the mean of its divisors is an integer number (4329149544).

Almost surely, 2^100210013121 is an apocalyptic number.

It is an amenable number.

100210013121 is a deficient number, since it is larger than the sum of its proper divisors (38322772287).

100210013121 is a wasteful number, since it uses less digits than its factorization.

100210013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17481.

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

Adding to 100210013121 its reverse (121310012001), we get a palindrome (221520025122).

The spelling of 100210013121 in words is "one hundred billion, two hundred ten million, thirteen thousand, one hundred twenty-one".