10100121100121 has 32 divisors (see below), whose sum is σ = 11557498444800. Its totient is φ = 8749245715200.

The previous prime is 10100121100063. The next prime is 10100121100133. The reversal of 10100121100121 is 12100112100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100121100121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100121100151) 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, 111065771 + ... + 111156671.

It is an arithmetic number, because the mean of its divisors is an integer number (361171826400).

Almost surely, 2^{10100121100121} is an apocalyptic number.

It is an amenable number.

10100121100121 is a deficient number, since it is larger than the sum of its proper divisors (1457377344679).

10100121100121 is a wasteful number, since it uses less digits than its factorization.

10100121100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95169.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100121100121 its reverse (12100112100101), we get a palindrome (22200233200222).

The spelling of 10100121100121 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, one hundred twenty-one".