120221000100112 has 40 divisors (see below), whose sum is σ = 234754477923672. Its totient is φ = 59639670912000.

The previous prime is 120221000100107. The next prime is 120221000100169. The reversal of 120221000100112 is 211001000122021.

It can be written as a sum of positive squares in 4 ways, for example, as 1211751833616 + 119009248266496 = 1100796^2 + 10909136^2 .

It is a super-2 number, since 2×120221000100112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120221000100092 and 120221000100101.

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, 10656139 + ... + 18814762.

Almost surely, 2^{120221000100112} is an apocalyptic number.

It is an amenable number.

120221000100112 is a deficient number, since it is larger than the sum of its proper divisors (114533477823560).

120221000100112 is a wasteful number, since it uses less digits than its factorization.

120221000100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29472907 (or 29472901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120221000100112 its reverse (211001000122021), we get a palindrome (331222000222133).

The spelling of 120221000100112 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred thousand, one hundred twelve".