101312162360400 has 480 divisors, whose sum is σ = 347132472893440. Its totient is φ = 25184627619840.

The previous prime is 101312162360329. The next prime is 101312162360417. The reversal of 101312162360400 is 4063261213101.

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, 368561409 + ... + 368836191.

Almost surely, 2^{101312162360400} is an apocalyptic number.

101312162360400 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 101312162360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173566236446720).

101312162360400 is an abundant number, since it is smaller than the sum of its proper divisors (245820310533040).

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

101312162360400 is a wasteful number, since it uses less digits than its factorization.

101312162360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275083 (or 275072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 101312162360400 in words is "one hundred one trillion, three hundred twelve billion, one hundred sixty-two million, three hundred sixty thousand, four hundred".