101939864800 has 36 divisors (see below), whose sum is σ = 248860696896. Its totient is φ = 40775945600.

The previous prime is 101939864791. The next prime is 101939864801. The reversal of 101939864800 is 8468939101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101939864801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63711616 + ... + 63713215.

It is an arithmetic number, because the mean of its divisors is an integer number (6912797136).

Almost surely, 2^101939864800 is an apocalyptic number.

101939864800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101939864800 is an abundant number, since it is smaller than the sum of its proper divisors (146920832096).

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

101939864800 is a wasteful number, since it uses less digits than its factorization.

101939864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127424851 (or 127424838 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 101939864800 in words is "one hundred one billion, nine hundred thirty-nine million, eight hundred sixty-four thousand, eight hundred".