101135741756 has 24 divisors (see below), whose sum is σ = 202377325920. Its totient is φ = 43321208832.

The previous prime is 101135741747. The next prime is 101135741767. The reversal of 101135741756 is 657147531101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890501 + ... + 997628.

It is an arithmetic number, because the mean of its divisors is an integer number (8432388580).

Almost surely, 2^101135741756 is an apocalyptic number.

It is an amenable number.

101135741756 is an abundant number, since it is smaller than the sum of its proper divisors (101241584164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101135741756 is a wasteful number, since it uses less digits than its factorization.

101135741756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890053 (or 1890051 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 41.

The spelling of 101135741756 in words is "one hundred one billion, one hundred thirty-five million, seven hundred forty-one thousand, seven hundred fifty-six".