101606599120 has 60 divisors (see below), whose sum is σ = 255805168716. Its totient is φ = 37516277760.

The previous prime is 101606599091. The next prime is 101606599139. The reversal of 101606599120 is 21995606101.

It can be written as a sum of positive squares in 6 ways, for example, as 36322261056 + 65284338064 = 190584^2 + 255508^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 3744121 + ... + 3771160.

Almost surely, 2^101606599120 is an apocalyptic number.

101606599120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101606599120 is an abundant number, since it is smaller than the sum of its proper divisors (154198569596).

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

101606599120 is a wasteful number, since it uses less digits than its factorization.

101606599120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515320 (or 7515301 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The spelling of 101606599120 in words is "one hundred one billion, six hundred six million, five hundred ninety-nine thousand, one hundred twenty".