100122031200 has 144 divisors (see below), whose sum is σ = 326333644560. Its totient is φ = 26663454720.

The previous prime is 100122031187. The next prime is 100122031213. The reversal of 100122031200 is 2130221001.

It is an interprime number because it is at equal distance from previous prime (100122031187) and next prime (100122031213).

It is a super-2 number, since 2×100122031200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789246 + ... + 1844354.

It is an arithmetic number, because the mean of its divisors is an integer number (2266205865).

Almost surely, 2^100122031200 is an apocalyptic number.

100122031200 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 100122031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163166822280).

100122031200 is an abundant number, since it is smaller than the sum of its proper divisors (226211613360).

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

100122031200 is a wasteful number, since it uses less digits than its factorization.

100122031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55889 (or 55876 counting only the distinct ones).

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

Adding to 100122031200 its reverse (2130221001), we get a palindrome (102252252201).

The spelling of 100122031200 in words is "one hundred billion, one hundred twenty-two million, thirty-one thousand, two hundred".