10100100121101 has 32 divisors (see below), whose sum is σ = 14977775308800. Its totient is φ = 6726804401520.

The previous prime is 10100100121049. The next prime is 10100100121103. The reversal of 10100100121101 is 10112100100101.

It is not a de Polignac number, because 10100100121101 - 2²⁵ = 10100066566669 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100121103) 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, 122338206 + ... + 122420736.

It is an arithmetic number, because the mean of its divisors is an integer number (468055478400).

Almost surely, 2^{10100100121101} is an apocalyptic number.

It is an amenable number.

10100100121101 is a deficient number, since it is larger than the sum of its proper divisors (4877675187699).

10100100121101 is a wasteful number, since it uses less digits than its factorization.

10100100121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86926 (or 86920 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100100121101 its reverse (10112100100101), we get a palindrome (20212200221202).

The spelling of 10100100121101 in words is "ten trillion, one hundred billion, one hundred million, one hundred twenty-one thousand, one hundred one".