100122100120212 has 48 divisors (see below), whose sum is σ = 234053865538752. Its totient is φ = 33311802251520.

The previous prime is 100122100120183. The next prime is 100122100120241. The reversal of 100122100120212 is 212021001221001.

It is an interprime number because it is at equal distance from previous prime (100122100120183) and next prime (100122100120241).

It is a junction number, because it is equal to n+sod(n) for n = 100122100120191 and 100122100120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702278728 + ... + 702421280.

It is an arithmetic number, because the mean of its divisors is an integer number (4876122198724).

Almost surely, 2^{100122100120212} is an apocalyptic number.

100122100120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122100120212 is an abundant number, since it is smaller than the sum of its proper divisors (133931765418540).

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

100122100120212 is a wasteful number, since it uses less digits than its factorization.

100122100120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251288 (or 251286 counting only the distinct ones).

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

Adding to 100122100120212 its reverse (212021001221001), we get a palindrome (312143101341213).

The spelling of 100122100120212 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, one hundred twenty thousand, two hundred twelve".