21100100211201 has 48 divisors (see below), whose sum is σ = 31450617293760. Its totient is φ = 12570025036800.

The previous prime is 21100100211193. The next prime is 21100100211263. The reversal of 21100100211201 is 10211200100112.

It is not a de Polignac number, because 21100100211201 - 2³ = 21100100211193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21100100213201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266237941 + ... + 266317181.

It is an arithmetic number, because the mean of its divisors is an integer number (655221193620).

Almost surely, 2^{21100100211201} is an apocalyptic number.

It is an amenable number.

21100100211201 is a deficient number, since it is larger than the sum of its proper divisors (10350517082559).

21100100211201 is a wasteful number, since it uses less digits than its factorization.

21100100211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91758 (or 91747 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21100100211201 its reverse (10211200100112), we get a palindrome (31311300311313).

The spelling of 21100100211201 in words is "twenty-one trillion, one hundred billion, one hundred million, two hundred eleven thousand, two hundred one".