2100000100121 has 32 divisors (see below), whose sum is σ = 2756126545920. Its totient is φ = 1550157436800.

The previous prime is 2100000100091. The next prime is 2100000100139. The reversal of 2100000100121 is 1210010000012.

It is not a de Polignac number, because 2100000100121 - 2³⁰ = 2098926358297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100000100099 and 2100000100108.

It is not an unprimeable number, because it can be changed into a prime (2100000100151) 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, 53761820 + ... + 53800866.

It is an arithmetic number, because the mean of its divisors is an integer number (86128954560).

Almost surely, 2^{2100000100121} is an apocalyptic number.

It is an amenable number.

2100000100121 is a deficient number, since it is larger than the sum of its proper divisors (656126445799).

2100000100121 is a wasteful number, since it uses less digits than its factorization.

2100000100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75845.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2100000100121 its reverse (1210010000012), we get a palindrome (3310010100133).

The spelling of 2100000100121 in words is "two trillion, one hundred billion, one hundred thousand, one hundred twenty-one".