101901685350 has 48 divisors (see below), whose sum is σ = 254534333760. Its totient is φ = 26978282400.

The previous prime is 101901685321. The next prime is 101901685363. The reversal of 101901685350 is 53586109101.

It is a junction number, because it is equal to n+sod(n) for n = 101901685299 and 101901685308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2422836 + ... + 2464535.

It is an arithmetic number, because the mean of its divisors is an integer number (5302798620).

Almost surely, 2^101901685350 is an apocalyptic number.

101901685350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101901685350 is an abundant number, since it is smaller than the sum of its proper divisors (152632648410).

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

101901685350 is a wasteful number, since it uses less digits than its factorization.

101901685350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887525 (or 4887520 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 101901685350 in words is "one hundred one billion, nine hundred one million, six hundred eighty-five thousand, three hundred fifty".