2101100211001 has 32 divisors (see below), whose sum is σ = 2419413587712. Its totient is φ = 1806011074560.

The previous prime is 2101100210939. The next prime is 2101100211019. The reversal of 2101100211001 is 1001120011012.

It is not a de Polignac number, because 2101100211001 - 2⁷ = 2101100210873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101100211061) 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 31 ways as a sum of consecutive naturals, for example, 10565181 + ... + 10762213.

It is an arithmetic number, because the mean of its divisors is an integer number (75606674616).

Almost surely, 2^{2101100211001} is an apocalyptic number.

It is an amenable number.

2101100211001 is a deficient number, since it is larger than the sum of its proper divisors (318313376711).

2101100211001 is a wasteful number, since it uses less digits than its factorization.

2101100211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197553.

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

Adding to 2101100211001 its reverse (1001120011012), we get a palindrome (3102220222013).

The spelling of 2101100211001 in words is "two trillion, one hundred one billion, one hundred million, two hundred eleven thousand, one".