101385103163960 has 384 divisors, whose sum is σ = 306557676354240. Its totient is φ = 29737270886400.

The previous prime is 101385103163957. The next prime is 101385103163969. The reversal of 101385103163960 is 69361301583101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101385103163969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3101109374 + ... + 3101142066.

Almost surely, 2^{101385103163960} is an apocalyptic number.

101385103163960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101385103163960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153278838177120).

101385103163960 is an abundant number, since it is smaller than the sum of its proper divisors (205172573190280).

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

101385103163960 is a wasteful number, since it uses less digits than its factorization.

101385103163960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41207 (or 41196 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 101385103163960 in words is "one hundred one trillion, three hundred eighty-five billion, one hundred three million, one hundred sixty-three thousand, nine hundred sixty".