100122200201120 has 48 divisors (see below), whose sum is σ = 236890167320520. Its totient is φ = 39989372043264.

The previous prime is 100122200201087. The next prime is 100122200201137. The reversal of 100122200201120 is 21102002221001.

It can be written as a sum of positive squares in 4 ways, for example, as 62854642760464 + 37267557440656 = 7928092^2 + 6104716^2 .

It is a super-2 number, since 2×100122200201120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122200201095 and 100122200201104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464798525 + ... + 465013884.

Almost surely, 2^{100122200201120} is an apocalyptic number.

100122200201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122200201120 is an abundant number, since it is smaller than the sum of its proper divisors (136767967119400).

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

100122200201120 is an equidigital number, since it uses as much as digits as its factorization.

100122200201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929813097 (or 929813089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100122200201120 its reverse (21102002221001), we get a palindrome (121224202422121).

The spelling of 100122200201120 in words is "one hundred trillion, one hundred twenty-two billion, two hundred million, two hundred one thousand, one hundred twenty".