100522312000 has 448 divisors, whose sum is σ = 290998656000. Its totient is φ = 34009344000.

The previous prime is 100522311979. The next prime is 100522312001. The reversal of 100522312000 is 213225001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100522312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98647491 + ... + 98648509.

Almost surely, 2^100522312000 is an apocalyptic number.

100522312000 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 100522312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145499328000).

100522312000 is an abundant number, since it is smaller than the sum of its proper divisors (190476344000).

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

100522312000 is a wasteful number, since it uses less digits than its factorization.

100522312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 100522312000 its reverse (213225001), we get a palindrome (100735537001).

The spelling of 100522312000 in words is "one hundred billion, five hundred twenty-two million, three hundred twelve thousand".