100122013200 has 480 divisors, whose sum is σ = 362517368832. Its totient is φ = 23410688000.

The previous prime is 100122013193. The next prime is 100122013237. The reversal of 100122013200 is 2310221001.

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

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, 44047264 + ... + 44049536.

Almost surely, 2^100122013200 is an apocalyptic number.

100122013200 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 100122013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181258684416).

100122013200 is an abundant number, since it is smaller than the sum of its proper divisors (262395355632).

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

100122013200 is a wasteful number, since it uses less digits than its factorization.

100122013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2412 counting only the distinct ones).

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

Adding to 100122013200 its reverse (2310221001), we get a palindrome (102432234201).

The spelling of 100122013200 in words is "one hundred billion, one hundred twenty-two million, thirteen thousand, two hundred".