101051350514400 has 576 divisors, whose sum is σ = 386500863361536. Its totient is φ = 22608509952000.

The previous prime is 101051350514393. The next prime is 101051350514423. The reversal of 101051350514400 is 4415053150101.

It is a super-2 number, since 2×101051350514400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1970285557 + ... + 1970336843.

It is an arithmetic number, because the mean of its divisors is an integer number (671008443336).

Almost surely, 2^{101051350514400} is an apocalyptic number.

101051350514400 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 101051350514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193250431680768).

101051350514400 is an abundant number, since it is smaller than the sum of its proper divisors (285449512847136).

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

101051350514400 is a wasteful number, since it uses less digits than its factorization.

101051350514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57075 (or 57062 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 101051350514400 in words is "one hundred one trillion, fifty-one billion, three hundred fifty million, five hundred fourteen thousand, four hundred".