2100210101121 has 16 divisors (see below), whose sum is σ = 3068191028160. Its totient is φ = 1267296285120.

The previous prime is 2100210101083. The next prime is 2100210101137. The reversal of 2100210101121 is 1211010120012.

It is not a de Polignac number, because 2100210101121 - 2¹⁰ = 2100210100097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100210101097 and 2100210101106.

It is not an unprimeable number, because it can be changed into a prime (2100210101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138950370 + ... + 138965483.

It is an arithmetic number, because the mean of its divisors is an integer number (191761939260).

Almost surely, 2^{2100210101121} is an apocalyptic number.

It is an amenable number.

2100210101121 is a deficient number, since it is larger than the sum of its proper divisors (967980927039).

2100210101121 is a wasteful number, since it uses less digits than its factorization.

2100210101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277916096.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100210101121 its reverse (1211010120012), we get a palindrome (3311220221133).

The spelling of 2100210101121 in words is "two trillion, one hundred billion, two hundred ten million, one hundred one thousand, one hundred twenty-one".