2100102220121 has 40 divisors (see below), whose sum is σ = 2266507613664. Its totient is φ = 1945617175040.

The previous prime is 2100102220109. The next prime is 2100102220169. The reversal of 2100102220121 is 1210222010012.

It is not a de Polignac number, because 2100102220121 - 2¹⁸ = 2100101957977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100102220096 and 2100102220105.

It is not an unprimeable number, because it can be changed into a prime (2100102220421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3403731005 + ... + 3403731621.

Almost surely, 2^{2100102220121} is an apocalyptic number.

It is an amenable number.

2100102220121 is a deficient number, since it is larger than the sum of its proper divisors (166405393543).

2100102220121 is an frugal number, since it uses more digits than its factorization.

2100102220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100102220121 its reverse (1210222010012), we get a palindrome (3310324230133).

The spelling of 2100102220121 in words is "two trillion, one hundred billion, one hundred two million, two hundred twenty thousand, one hundred twenty-one".