100031201220000 has 240 divisors, whose sum is σ = 328245171297120. Its totient is φ = 26665001856000.

The previous prime is 100031201219981. The next prime is 100031201220017. The reversal of 100031201220000 is 22102130001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×100031201220000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160669306 + ... + 161290694.

It is an arithmetic number, because the mean of its divisors is an integer number (1367688213738).

Almost surely, 2^{100031201220000} is an apocalyptic number.

100031201220000 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 100031201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164122585648560).

100031201220000 is an abundant number, since it is smaller than the sum of its proper divisors (228213970077120).

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

100031201220000 is an equidigital number, since it uses as much as digits as its factorization.

100031201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624105 (or 624082 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100031201220000 its reverse (22102130001), we get a palindrome (100053303350001).

The spelling of 100031201220000 in words is "one hundred trillion, thirty-one billion, two hundred one million, two hundred twenty thousand".