100122122121120 has 432 divisors, whose sum is σ = 397642296509640. Its totient is φ = 22844262481920.

The previous prime is 100122122121061. The next prime is 100122122121179. The reversal of 100122122121120 is 21121221221001.

100122122121120 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 221 + 211 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100122122121061) and next prime (100122122121179).

It can be written as a sum of positive squares in 4 ways, for example, as 83632707688464 + 16489414432656 = 9145092^2 + 4060716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100122122121093 and 100122122121102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13938565 + ... + 19862724.

Almost surely, 2^{100122122121120} is an apocalyptic number.

100122122121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122122121120 is an abundant number, since it is smaller than the sum of its proper divisors (297520174388520).

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

100122122121120 is a wasteful number, since it uses less digits than its factorization.

100122122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33801349 (or 33801327 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100122122121120 its reverse (21121221221001), we get a palindrome (121243343342121).

The spelling of 100122122121120 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".