2100011222001 has 64 divisors (see below), whose sum is σ = 3611746713600. Its totient is φ = 1053168211200.

The previous prime is 2100011221921. The next prime is 2100011222027. The reversal of 2100011222001 is 1002221100012.

It is not a de Polignac number, because 2100011222001 - 2¹⁸ = 2100010959857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100011222081) 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, 78961216 + ... + 78987806.

It is an arithmetic number, because the mean of its divisors is an integer number (56433542400).

Almost surely, 2^{2100011222001} is an apocalyptic number.

2100011222001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100011222001 is a deficient number, since it is larger than the sum of its proper divisors (1511735491599).

2100011222001 is a wasteful number, since it uses less digits than its factorization.

2100011222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38430.

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

Adding to 2100011222001 its reverse (1002221100012), we get a palindrome (3102232322013).

The spelling of 2100011222001 in words is "two trillion, one hundred billion, eleven million, two hundred twenty-two thousand, one".