101753145121 has 2 divisors, whose sum is σ = 101753145122. Its totient is φ = 101753145120.

The previous prime is 101753145113. The next prime is 101753145127. The reversal of 101753145121 is 121541357101.

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., 89967003025 + 11786142096 = 299945^2 + 108564^2 .

It is a cyclic number.

It is not a de Polignac number, because 101753145121 - 2³ = 101753145113 is a prime.

It is a super-2 number, since 2×101753145121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101753145127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50876572560 + 50876572561.

It is an arithmetic number, because the mean of its divisors is an integer number (50876572561).

Almost surely, 2^101753145121 is an apocalyptic number.

It is an amenable number.

101753145121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101753145121 is an equidigital number, since it uses as much as digits as its factorization.

101753145121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 31.

The spelling of 101753145121 in words is "one hundred one billion, seven hundred fifty-three million, one hundred forty-five thousand, one hundred twenty-one".