100122200 has 48 divisors (see below), whose sum is σ = 234092160. Its totient is φ = 39824000.

The previous prime is 100122179. The next prime is 100122221. The reversal of 100122200 is 2221001.

It is an interprime number because it is at equal distance from previous prime (100122179) and next prime (100122221).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36890 + ... + 39510.

It is an arithmetic number, because the mean of its divisors is an integer number (4876920).

Almost surely, 2^100122200 is an apocalyptic number.

100122200 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 100122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117046080).

100122200 is an abundant number, since it is smaller than the sum of its proper divisors (133969960).

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

100122200 is a wasteful number, since it uses less digits than its factorization.

100122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100122200 is about 10006.1081345346. The cubic root of 100122200 is about 464.3478737852.

Adding to 100122200 its reverse (2221001), we get a palindrome (102343201).

The spelling of 100122200 in words is "one hundred million, one hundred twenty-two thousand, two hundred".