101130875721261 has 12 divisors (see below), whose sum is σ = 149475092797888. Its totient is φ = 65852663260104.

The previous prime is 101130875721233. The next prime is 101130875721299. The reversal of 101130875721261 is 162127578031101.

101130875721261 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 0 + 8 + 7 + 572 + 12 + 61 = 666.

It is not a de Polignac number, because 101130875721261 - 2²² = 101130871526957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130875726261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130660045765 + ... + 130660046538.

Almost surely, 2^{101130875721261} is an apocalyptic number.

It is an amenable number.

101130875721261 is a deficient number, since it is larger than the sum of its proper divisors (48344217076627).

101130875721261 is a wasteful number, since it uses less digits than its factorization.

101130875721261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261320092352 (or 261320092349 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 101130875721261 in words is "one hundred one trillion, one hundred thirty billion, eight hundred seventy-five million, seven hundred twenty-one thousand, two hundred sixty-one".