100101014213200 has 720 divisors, whose sum is σ = 336564717229440. Its totient is φ = 27807142809600.

The previous prime is 100101014213159. The next prime is 100101014213269. The reversal of 100101014213200 is 2312410101001.

It is a super-2 number, since 2×100101014213200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 127335747 + ... + 128119453.

It is an arithmetic number, because the mean of its divisors is an integer number (467450996152).

Almost surely, 2^{100101014213200} is an apocalyptic number.

100101014213200 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 100101014213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168282358614720).

100101014213200 is an abundant number, since it is smaller than the sum of its proper divisors (236463703016240).

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

100101014213200 is a wasteful number, since it uses less digits than its factorization.

100101014213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783796 (or 783774 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100101014213200 its reverse (2312410101001), we get a palindrome (102413424314201).

The spelling of 100101014213200 in words is "one hundred trillion, one hundred one billion, fourteen million, two hundred thirteen thousand, two hundred".