2100001101121 has 18 divisors (see below), whose sum is σ = 2685125382450. Its totient is φ = 1636364489760.

The previous prime is 2100001101113. The next prime is 2100001101157. The reversal of 2100001101121 is 1211011000012.

It can be written as a sum of positive squares in only one way, i.e., 1291152691521 + 808848409600 = 1136289^2 + 899360^2 .

It is not a de Polignac number, because 2100001101121 - 2³ = 2100001101113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100001101098 and 2100001101107.

It is not an unprimeable number, because it can be changed into a prime (2100001105121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 177089796 + ... + 177101653.

Almost surely, 2^{2100001101121} is an apocalyptic number.

It is an amenable number.

2100001101121 is a deficient number, since it is larger than the sum of its proper divisors (585124281329).

2100001101121 is a wasteful number, since it uses less digits than its factorization.

2100001101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354191485 (or 354191467 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2100001101121 its reverse (1211011000012), we get a palindrome (3311012101133).

The spelling of 2100001101121 in words is "two trillion, one hundred billion, one million, one hundred one thousand, one hundred twenty-one".