100120221002120 has 32 divisors (see below), whose sum is σ = 245749633369920. Its totient is φ = 36407353091520.

The previous prime is 100120221002107. The next prime is 100120221002209. The reversal of 100120221002120 is 21200122021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120221002095 and 100120221002104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113772977972 + ... + 113772978851.

It is an arithmetic number, because the mean of its divisors is an integer number (7679676042810).

Almost surely, 2^{100120221002120} is an apocalyptic number.

100120221002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120221002120 is an abundant number, since it is smaller than the sum of its proper divisors (145629412367800).

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

100120221002120 is a wasteful number, since it uses less digits than its factorization.

100120221002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227545956845 (or 227545956841 counting only the distinct ones).

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

Adding to 100120221002120 its reverse (21200122021001), we get a palindrome (121320343023121).

The spelling of 100120221002120 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred twenty".