101627367481600 has 81 divisors (see below), whose sum is σ = 251545609980903. Its totient is φ = 40650624399360.

The previous prime is 101627367481559. The next prime is 101627367481613. The reversal of 101627367481600 is 6184763726101.

It is a happy number.

The square root of 101627367481600 is 10081040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42953238192384 + 58674129289216 = 6553872^2 + 7659904^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 806420194 + ... + 806546206.

Almost surely, 2^{101627367481600} is an apocalyptic number.

101627367481600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101627367481600 is the 10081040-th square number.

It is an amenable number.

101627367481600 is an abundant number, since it is smaller than the sum of its proper divisors (149918242499303).

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

101627367481600 is an frugal number, since it uses more digits than its factorization.

101627367481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252052 (or 126020 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 101627367481600 in words is "one hundred one trillion, six hundred twenty-seven billion, three hundred sixty-seven million, four hundred eighty-one thousand, six hundred".