100031201211300 has 288 divisors, whose sum is σ = 300973153152000. Its totient is φ = 25623502848000.

The previous prime is 100031201211283. The next prime is 100031201211317. The reversal of 100031201211300 is 3112102130001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100031201211283) and next prime (100031201211317).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100031201211300.

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, 2063283060 + ... + 2063331540.

Almost surely, 2^{100031201211300} is an apocalyptic number.

100031201211300 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 100031201211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150486576576000).

100031201211300 is an abundant number, since it is smaller than the sum of its proper divisors (200941951940700).

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

100031201211300 is a wasteful number, since it uses less digits than its factorization.

100031201211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50167 (or 50160 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100031201211300 its reverse (3112102130001), we get a palindrome (103143303341301).

The spelling of 100031201211300 in words is "one hundred trillion, thirty-one billion, two hundred one million, two hundred eleven thousand, three hundred".