2100100011121 has 8 divisors (see below), whose sum is σ = 2400132029120. Its totient is φ = 1800072425808.

The previous prime is 2100100011077. The next prime is 2100100011143. The reversal of 2100100011121 is 1211100010012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100100011121 - 2²⁵ = 2100066456689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100100011098 and 2100100011107.

It is not an unprimeable number, because it can be changed into a prime (2100100012121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21951 + ... + 2049556.

It is an arithmetic number, because the mean of its divisors is an integer number (300016503640).

Almost surely, 2^{2100100011121} is an apocalyptic number.

It is an amenable number.

2100100011121 is a deficient number, since it is larger than the sum of its proper divisors (300032017999).

2100100011121 is a wasteful number, since it uses less digits than its factorization.

2100100011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216343.

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

Adding to 2100100011121 its reverse (1211100010012), we get a palindrome (3311200021133).

The spelling of 2100100011121 in words is "two trillion, one hundred billion, one hundred million, eleven thousand, one hundred twenty-one".