100122020100200 has 96 divisors (see below), whose sum is σ = 266511049968960. Its totient is φ = 34266576921600.

The previous prime is 100122020100197. The next prime is 100122020100203. The reversal of 100122020100200 is 2001020221001.

It is a happy number.

100122020100200 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100122020100197) and next prime (100122020100203).

It is not an unprimeable number, because it can be changed into a prime (100122020100203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62724881 + ... + 64301280.

It is an arithmetic number, because the mean of its divisors is an integer number (2776156770510).

Almost surely, 2^{100122020100200} is an apocalyptic number.

100122020100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122020100200 is an abundant number, since it is smaller than the sum of its proper divisors (166389029868760).

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

100122020100200 is a wasteful number, since it uses less digits than its factorization.

100122020100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127026747 (or 127026738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100122020100200 its reverse (2001020221001), we get a palindrome (102123040321201).

The spelling of 100122020100200 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred thousand, two hundred".