21121001100201 has 16 divisors (see below), whose sum is σ = 28958741227584. Its totient is φ = 13682919167424.

The previous prime is 21121001100149. The next prime is 21121001100271. The reversal of 21121001100201 is 10200110012112.

It is not a de Polignac number, because 21121001100201 - 2¹⁷ = 21121000969129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21121001100271) 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 15 ways as a sum of consecutive naturals, for example, 119283735 + ... + 119460668.

It is an arithmetic number, because the mean of its divisors is an integer number (1809921326724).

Almost surely, 2^{21121001100201} is an apocalyptic number.

It is an amenable number.

21121001100201 is a deficient number, since it is larger than the sum of its proper divisors (7837740127383).

21121001100201 is a wasteful number, since it uses less digits than its factorization.

21121001100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238745240.

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

Adding to 21121001100201 its reverse (10200110012112), we get a palindrome (31321111112313).

The spelling of 21121001100201 in words is "twenty-one trillion, one hundred twenty-one billion, one million, one hundred thousand, two hundred one".