120100100022210 has 512 divisors, whose sum is σ = 375145503916032. Its totient is φ = 23878800000000.

The previous prime is 120100100022059. The next prime is 120100100022239. The reversal of 120100100022210 is 12220001001021.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5431679055 + ... + 5431701165.

It is an arithmetic number, because the mean of its divisors is an integer number (732706062336).

Almost surely, 2^{120100100022210} is an apocalyptic number.

120100100022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100100022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187572751958016).

120100100022210 is an abundant number, since it is smaller than the sum of its proper divisors (255045403893822).

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

120100100022210 is a wasteful number, since it uses less digits than its factorization.

120100100022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23022.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100100022210 its reverse (12220001001021), we get a palindrome (132320101023231).

The spelling of 120100100022210 in words is "one hundred twenty trillion, one hundred billion, one hundred million, twenty-two thousand, two hundred ten".