101952988300992 has 42 divisors (see below), whose sum is σ = 269750985060324. Its totient is φ = 33984282796800.

The previous prime is 101952988300987. The next prime is 101952988300993. The reversal of 101952988300992 is 299003889259101.

It is a happy number.

101952988300992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101952988300993) 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, 139546242 + ... + 140274942.

Almost surely, 2^{101952988300992} is an apocalyptic number.

101952988300992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101952988300992 is an abundant number, since it is smaller than the sum of its proper divisors (167797996759332).

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

101952988300992 is an frugal number, since it uses more digits than its factorization.

101952988300992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457417 (or 728706 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 66.

The spelling of 101952988300992 in words is "one hundred one trillion, nine hundred fifty-two billion, nine hundred eighty-eight million, three hundred thousand, nine hundred ninety-two".