21114120001957 has 2 divisors, whose sum is σ = 21114120001958. Its totient is φ = 21114120001956.

The previous prime is 21114120001943. The next prime is 21114120002137. The reversal of 21114120001957 is 75910002141112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14562229970401 + 6551890031556 = 3816049^2 + 2559666^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21114120001957 is a prime.

It is a super-3 number, since 3×21114120001957³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21114120001157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10557060000978 + 10557060000979.

It is an arithmetic number, because the mean of its divisors is an integer number (10557060000979).

Almost surely, 2^{21114120001957} is an apocalyptic number.

It is an amenable number.

21114120001957 is a deficient number, since it is larger than the sum of its proper divisors (1).

21114120001957 is an equidigital number, since it uses as much as digits as its factorization.

21114120001957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 21114120001957 in words is "twenty-one trillion, one hundred fourteen billion, one hundred twenty million, one thousand, nine hundred fifty-seven".