100122120122200 has 144 divisors (see below), whose sum is σ = 255888597003480. Its totient is φ = 36405388800000.

The previous prime is 100122120122131. The next prime is 100122120122207. The reversal of 100122120122200 is 2221021221001.

It is a happy number.

It is a super-2 number, since 2×100122120122200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122120122207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348360555 + ... + 348647845.

Almost surely, 2^{100122120122200} is an apocalyptic number.

100122120122200 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 100122120122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127944298501740).

100122120122200 is an abundant number, since it is smaller than the sum of its proper divisors (155766476881280).

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

100122120122200 is a wasteful number, since it uses less digits than its factorization.

100122120122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301730 (or 301710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122120122200 its reverse (2221021221001), we get a palindrome (102343141343201).

The spelling of 100122120122200 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred".