101656162061600 has 36 divisors (see below), whose sum is σ = 248168105634834. Its totient is φ = 40662464824320.

The previous prime is 101656162061579. The next prime is 101656162061609. The reversal of 101656162061600 is 6160261656101.

It can be written as a sum of positive squares in 3 ways, for example, as 73804662449296 + 27851499612304 = 8590964^2 + 5277452^2 .

It is not an unprimeable number, because it can be changed into a prime (101656162061609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63535100489 + ... + 63535102088.

Almost surely, 2^{101656162061600} is an apocalyptic number.

101656162061600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101656162061600 is an abundant number, since it is smaller than the sum of its proper divisors (146511943573234).

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

101656162061600 is a wasteful number, since it uses less digits than its factorization.

101656162061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127070202597 (or 127070202584 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 101656162061600 in words is "one hundred one trillion, six hundred fifty-six billion, one hundred sixty-two million, sixty-one thousand, six hundred".