101211021937957 has 2 divisors, whose sum is σ = 101211021937958. Its totient is φ = 101211021937956.

The previous prime is 101211021937813. The next prime is 101211021937979. The reversal of 101211021937957 is 759739120112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70723827784516 + 30487194153441 = 8409746^2 + 5521521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211021937957 is a prime.

It is a super-2 number, since 2×101211021937957² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101211021937957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211021935957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605510968978 + 50605510968979.

It is an arithmetic number, because the mean of its divisors is an integer number (50605510968979).

Almost surely, 2^{101211021937957} is an apocalyptic number.

It is an amenable number.

101211021937957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211021937957 is an equidigital number, since it uses as much as digits as its factorization.

101211021937957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 238140, while the sum is 49.

The spelling of 101211021937957 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, nine hundred thirty-seven thousand, nine hundred fifty-seven".