21110001111121 has 64 divisors (see below), whose sum is σ = 25058114484480. Its totient is φ = 17612796764160.

The previous prime is 21110001111047. The next prime is 21110001111193. The reversal of 21110001111121 is 12111110001112.

It is not a de Polignac number, because 21110001111121 - 2¹³ = 21110001102929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21110001111721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164712361 + ... + 164840473.

It is an arithmetic number, because the mean of its divisors is an integer number (391533038820).

Almost surely, 2^{21110001111121} is an apocalyptic number.

It is an amenable number.

21110001111121 is a deficient number, since it is larger than the sum of its proper divisors (3948113373359).

21110001111121 is a wasteful number, since it uses less digits than its factorization.

21110001111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128546.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 21110001111121 its reverse (12111110001112), we get a palindrome (33221111112233).

The spelling of 21110001111121 in words is "twenty-one trillion, one hundred ten billion, one million, one hundred eleven thousand, one hundred twenty-one".