100122021121200 has 180 divisors, whose sum is σ = 347293077635160. Its totient is φ = 24645420533760.

The previous prime is 100122021121193. The next prime is 100122021121229. The reversal of 100122021121200 is 2121120221001.

It is a super-2 number, since 2×100122021121200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122021121200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246646365 + ... + 247051964.

It is an arithmetic number, because the mean of its divisors is an integer number (1929405986862).

Almost surely, 2^{100122021121200} is an apocalyptic number.

100122021121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122021121200 is an abundant number, since it is smaller than the sum of its proper divisors (247171056513960).

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

100122021121200 is a wasteful number, since it uses less digits than its factorization.

100122021121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493698376 (or 493698352 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122021121200 its reverse (2121120221001), we get a palindrome (102243141342201).

The spelling of 100122021121200 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, two hundred".