112100100211921 has 2 divisors, whose sum is σ = 112100100211922. Its totient is φ = 112100100211920.

The previous prime is 112100100211877. The next prime is 112100100211933. The reversal of 112100100211921 is 129112001001211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74924691369025 + 37175408842896 = 8655905^2 + 6097164^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100100211921 - 2¹⁹ = 112100099687633 is a prime.

It is a super-2 number, since 2×112100100211921² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112100100211892 and 112100100211901.

It is not a weakly prime, because it can be changed into another prime (112100100211991) 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 as a sum of consecutive naturals, namely, 56050050105960 + 56050050105961.

It is an arithmetic number, because the mean of its divisors is an integer number (56050050105961).

Almost surely, 2^{112100100211921} is an apocalyptic number.

It is an amenable number.

112100100211921 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100100211921 is an equidigital number, since it uses as much as digits as its factorization.

112100100211921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 112100100211921 in words is "one hundred twelve trillion, one hundred billion, one hundred million, two hundred eleven thousand, nine hundred twenty-one".