21101121011201 has 16 divisors (see below), whose sum is σ = 27692516981760. Its totient is φ = 15577040800080.

The previous prime is 21101121011099. The next prime is 21101121011219. The reversal of 21101121011201 is 10211012110112.

It is a cyclic number.

It is not a de Polignac number, because 21101121011201 - 2¹⁴ = 21101120994817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21101121011281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7211591501 + ... + 7211594426.

It is an arithmetic number, because the mean of its divisors is an integer number (1730782311360).

Almost surely, 2^{21101121011201} is an apocalyptic number.

It is an amenable number.

21101121011201 is a deficient number, since it is larger than the sum of its proper divisors (6591395970559).

21101121011201 is a wasteful number, since it uses less digits than its factorization.

21101121011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14423185964.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21101121011201 its reverse (10211012110112), we get a palindrome (31312133121313).

It can be divided in two parts, 211011 and 21011201, that added together give a palindrome (21222212).

The spelling of 21101121011201 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-one million, eleven thousand, two hundred one".