101645313563200 has 672 divisors, whose sum is σ = 281124288144000. Its totient is φ = 35859701760000.

The previous prime is 101645313563179. The next prime is 101645313563267. The reversal of 101645313563200 is 2365313546101.

It is a super-2 number, since 2×101645313563200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36602560212 + ... + 36602562988.

It is an arithmetic number, because the mean of its divisors is an integer number (418339714500).

Almost surely, 2^{101645313563200} is an apocalyptic number.

101645313563200 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 101645313563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562144072000).

101645313563200 is an abundant number, since it is smaller than the sum of its proper divisors (179478974580800).

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

101645313563200 is a wasteful number, since it uses less digits than its factorization.

101645313563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 101645313563200 in words is "one hundred one trillion, six hundred forty-five billion, three hundred thirteen million, five hundred sixty-three thousand, two hundred".