101145351955200 has 1296 divisors, whose sum is σ = 407514217254144. Its totient is φ = 21637280563200.

The previous prime is 101145351955181. The next prime is 101145351955223. The reversal of 101145351955200 is 2559153541101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7030322407 + ... + 7030336793.

Almost surely, 2^{101145351955200} is an apocalyptic number.

101145351955200 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 101145351955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203757108627072).

101145351955200 is an abundant number, since it is smaller than the sum of its proper divisors (306368865298944).

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

101145351955200 is a wasteful number, since it uses less digits than its factorization.

101145351955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14638 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 101145351955200 in words is "one hundred one trillion, one hundred forty-five billion, three hundred fifty-one million, nine hundred fifty-five thousand, two hundred".