100311120000 has 960 divisors, whose sum is σ = 444233549760. Its totient is φ = 21150720000.

The previous prime is 100311119999. The next prime is 100311120001. The reversal of 100311120000 is 21113001.

It is an interprime number because it is at equal distance from previous prime (100311119999) and next prime (100311120001).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100311120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65519235 + ... + 65520765.

It is an arithmetic number, because the mean of its divisors is an integer number (462743281).

Almost surely, 2^100311120000 is an apocalyptic number.

100311120000 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 100311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222116774880).

100311120000 is an abundant number, since it is smaller than the sum of its proper divisors (343922429760).

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

100311120000 is a wasteful number, since it uses less digits than its factorization.

100311120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100311120000 its reverse (21113001), we get a palindrome (100332233001).

The spelling of 100311120000 in words is "one hundred billion, three hundred eleven million, one hundred twenty thousand".