21100011122201 has 16 divisors (see below), whose sum is σ = 23761296384000. Its totient is φ = 18562606477200.

The previous prime is 21100011122189. The next prime is 21100011122219. The reversal of 21100011122201 is 10222111000112.

It is a cyclic number.

It is not a de Polignac number, because 21100011122201 - 2¹⁸ = 21100010860057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100011122221) 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, 13635200 + ... + 15103598.

It is an arithmetic number, because the mean of its divisors is an integer number (1485081024000).

Almost surely, 2^{21100011122201} is an apocalyptic number.

It is an amenable number.

21100011122201 is a deficient number, since it is larger than the sum of its proper divisors (2661285261799).

21100011122201 is a wasteful number, since it uses less digits than its factorization.

21100011122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510580.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21100011122201 its reverse (10222111000112), we get a palindrome (31322122122313).

It can be divided in two parts, 21100011 and 122201, that added together give a palindrome (21222212).

The spelling of 21100011122201 in words is "twenty-one trillion, one hundred billion, eleven million, one hundred twenty-two thousand, two hundred one".