2100002102121 has 64 divisors (see below), whose sum is σ = 3553240743936. Its totient is φ = 1071602784000.

The previous prime is 2100002102027. The next prime is 2100002102153. The reversal of 2100002102121 is 1212012000012.

It is not a de Polignac number, because 2100002102121 - 2⁷ = 2100002101993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100002102097 and 2100002102106.

It is not an unprimeable number, because it can be changed into a prime (2100002102161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608671 + ... + 3317403.

It is an arithmetic number, because the mean of its divisors is an integer number (55519386624).

Almost surely, 2^{2100002102121} is an apocalyptic number.

2100002102121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100002102121 is a deficient number, since it is larger than the sum of its proper divisors (1453238641815).

2100002102121 is a wasteful number, since it uses less digits than its factorization.

2100002102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708982.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100002102121 its reverse (1212012000012), we get a palindrome (3312014102133).

The spelling of 2100002102121 in words is "two trillion, one hundred billion, two million, one hundred two thousand, one hundred twenty-one".