101664126120 has 64 divisors (see below), whose sum is σ = 321044616000. Its totient is φ = 25683568128.

The previous prime is 101664126119. The next prime is 101664126163. The reversal of 101664126120 is 21621466101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22292485 + ... + 22297044.

It is an arithmetic number, because the mean of its divisors is an integer number (5016322125).

Almost surely, 2^101664126120 is an apocalyptic number.

101664126120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101664126120 is an abundant number, since it is smaller than the sum of its proper divisors (219380489880).

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

101664126120 is a wasteful number, since it uses less digits than its factorization.

101664126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44589562 (or 44589558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 101664126120 in words is "one hundred one billion, six hundred sixty-four million, one hundred twenty-six thousand, one hundred twenty".