101902420488960 has 432 divisors, whose sum is σ = 433934478379584. Its totient is φ = 21500290695168.

The previous prime is 101902420488889. The next prime is 101902420488991. The reversal of 101902420488960 is 69884024209101.

It is a happy number.

101902420488960 is a `hidden beast` number, since 1 + 0 + 1 + 90 + 2 + 420 + 48 + 8 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101902420488897 and 101902420488906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47554407 + ... + 49651046.

It is an arithmetic number, because the mean of its divisors is an integer number (1004477959212).

Almost surely, 2^{101902420488960} is an apocalyptic number.

101902420488960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101902420488960 is an abundant number, since it is smaller than the sum of its proper divisors (332032057890624).

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

101902420488960 is a wasteful number, since it uses less digits than its factorization.

101902420488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97205500 (or 97205483 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 101902420488960 in words is "one hundred one trillion, nine hundred two billion, four hundred twenty million, four hundred eighty-eight thousand, nine hundred sixty".