21100022011003 has 16 divisors (see below), whose sum is σ = 23210211046176. Its totient is φ = 19063493579520.

The previous prime is 21100022010973. The next prime is 21100022011007. The reversal of 21100022011003 is 30011022000112.

It is a de Polignac number, because none of the positive numbers 2^k-21100022011003 is a prime.

It is a super-2 number, since 2×21100022011003² (a number of 27 digits) contains 22 as substring.

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 (21100022011007) 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, 84738100 + ... + 84986737.

It is an arithmetic number, because the mean of its divisors is an integer number (1450638190386).

Almost surely, 2^{21100022011003} is an apocalyptic number.

21100022011003 is a deficient number, since it is larger than the sum of its proper divisors (2110189035173).

21100022011003 is a wasteful number, since it uses less digits than its factorization.

21100022011003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169725054.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21100022011003 its reverse (30011022000112), we get a palindrome (51111044011115).

The spelling of 21100022011003 in words is "twenty-one trillion, one hundred billion, twenty-two million, eleven thousand, three".