101051506656 has 72 divisors (see below), whose sum is σ = 290827522440. Its totient is φ = 33277998336.

The previous prime is 101051506639. The next prime is 101051506663. The reversal of 101051506656 is 656605150101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×101051506656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101051506656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2089791 + ... + 2137598.

It is an arithmetic number, because the mean of its divisors is an integer number (4039271145).

Almost surely, 2^101051506656 is an apocalyptic number.

101051506656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101051506656 is an abundant number, since it is smaller than the sum of its proper divisors (189776015784).

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

101051506656 is a wasteful number, since it uses less digits than its factorization.

101051506656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227488 (or 4227477 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 101051506656 its reverse (656605150101), we get a palindrome (757656656757).

The spelling of 101051506656 in words is "one hundred one billion, fifty-one million, five hundred six thousand, six hundred fifty-six".