2101100021011 has 8 divisors (see below), whose sum is σ = 2224800400464. Its totient is φ = 1977411448320.

The previous prime is 2101100020997. The next prime is 2101100021047. The reversal of 2101100021011 is 1101200011012.

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 2101100021011 - 2⁹ = 2101100020499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101100021311) 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, 2583990 + ... + 3298363.

It is an arithmetic number, because the mean of its divisors is an integer number (278100050058).

Almost surely, 2^{2101100021011} is an apocalyptic number.

2101100021011 is a deficient number, since it is larger than the sum of its proper divisors (123700379453).

2101100021011 is a wasteful number, since it uses less digits than its factorization.

2101100021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903381.

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

Adding to 2101100021011 its reverse (1101200011012), we get a palindrome (3202300032023).

Subtracting from 2101100021011 its reverse (1101200011012), we obtain a palindrome (999900009999).

The spelling of 2101100021011 in words is "two trillion, one hundred one billion, one hundred million, twenty-one thousand, eleven".