21011122100113 has 6 divisors (see below), whose sum is σ = 21964367715794. Its totient is φ = 20097595051776.

The previous prime is 21011122100107. The next prime is 21011122100119. The reversal of 21011122100113 is 31100122111012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21011122100107) and next prime (21011122100119).

It can be written as a sum of positive squares in only one way, i.e., 10672916565249 + 10338205534864 = 3266943^2 + 3215308^2 .

It is not a de Polignac number, because 21011122100113 - 2²⁹ = 21010585229201 is a prime.

It is a super-2 number, since 2×21011122100113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21011122100119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19859283120 + ... + 19859284177.

Almost surely, 2^{21011122100113} is an apocalyptic number.

21011122100113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21011122100113 is a deficient number, since it is larger than the sum of its proper divisors (953245615681).

21011122100113 is an equidigital number, since it uses as much as digits as its factorization.

21011122100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39718567343 (or 39718567320 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 21011122100113 its reverse (31100122111012), we get a palindrome (52111244211125).

The spelling of 21011122100113 in words is "twenty-one trillion, eleven billion, one hundred twenty-two million, one hundred thousand, one hundred thirteen".