100122121220 has 48 divisors (see below), whose sum is σ = 230744239488. Its totient is φ = 36190018560.

The previous prime is 100122121199. The next prime is 100122121241. The reversal of 100122121220 is 22121221001.

It is an interprime number because it is at equal distance from previous prime (100122121199) and next prime (100122121241).

It is a junction number, because it is equal to n+sod(n) for n = 100122121195 and 100122121204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325837 + ... + 1399316.

It is an arithmetic number, because the mean of its divisors is an integer number (4807171656).

Almost surely, 2^100122121220 is an apocalyptic number.

100122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122121220 is an abundant number, since it is smaller than the sum of its proper divisors (130622118268).

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

100122121220 is a wasteful number, since it uses less digits than its factorization.

100122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725340 (or 2725338 counting only the distinct ones).

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

Adding to 100122121220 its reverse (22121221001), we get a palindrome (122243342221).

The spelling of 100122121220 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".