100122120221220 has 192 divisors, whose sum is σ = 322332067008000. Its totient is φ = 25770572416512.

The previous prime is 100122120221213. The next prime is 100122120221281. The reversal of 100122120221220 is 22122021221001.

It is a happy number.

100122120221220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 2 + 0 + 221 + 220 = 666.

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 = 100122120221193 and 100122120221202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49576129 + ... + 51556151.

It is an arithmetic number, because the mean of its divisors is an integer number (1678812849000).

Almost surely, 2^{100122120221220} is an apocalyptic number.

100122120221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122120221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161166033504000).

100122120221220 is an abundant number, since it is smaller than the sum of its proper divisors (222209946786780).

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

100122120221220 is a wasteful number, since it uses less digits than its factorization.

100122120221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983299 (or 1983291 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122120221220 its reverse (22122021221001), we get a palindrome (122244141442221).

The spelling of 100122120221220 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".