2100101122211 has 8 divisors (see below), whose sum is σ = 2138434334400. Its totient is φ = 2062061651520.

The previous prime is 2100101122187. The next prime is 2100101122279. The reversal of 2100101122211 is 1122211010012.

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 2100101122211 - 2¹⁰ = 2100101121187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100101122411) 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, 73420946 + ... + 73449543.

It is an arithmetic number, because the mean of its divisors is an integer number (267304291800).

Almost surely, 2^{2100101122211} is an apocalyptic number.

2100101122211 is a deficient number, since it is larger than the sum of its proper divisors (38333212189).

2100101122211 is a wasteful number, since it uses less digits than its factorization.

2100101122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146870749.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2100101122211 its reverse (1122211010012), we get a palindrome (3222312132223).

The spelling of 2100101122211 in words is "two trillion, one hundred billion, one hundred one million, one hundred twenty-two thousand, two hundred eleven".