101012112102157 has 2 divisors, whose sum is σ = 101012112102158. Its totient is φ = 101012112102156.

The previous prime is 101012112102091. The next prime is 101012112102203. The reversal of 101012112102157 is 751201211210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88939121008516 + 12072991093641 = 9430754^2 + 3474621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012112102157 is a prime.

It is a super-3 number, since 3×101012112102157³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012112142157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506056051078 + 50506056051079.

It is an arithmetic number, because the mean of its divisors is an integer number (50506056051079).

Almost surely, 2^{101012112102157} is an apocalyptic number.

It is an amenable number.

101012112102157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012112102157 is an equidigital number, since it uses as much as digits as its factorization.

101012112102157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 25.

Adding to 101012112102157 its reverse (751201211210101), we get a palindrome (852213323312258).

The spelling of 101012112102157 in words is "one hundred one trillion, twelve billion, one hundred twelve million, one hundred two thousand, one hundred fifty-seven".