101100221102120 has 16 divisors (see below), whose sum is σ = 227475497479860. Its totient is φ = 40440088440832.

The previous prime is 101100221102119. The next prime is 101100221102137. The reversal of 101100221102120 is 21201122001101.

It can be written as a sum of positive squares in 2 ways, for example, as 93721489932196 + 7378731169924 = 9680986^2 + 2716382^2 .

It is a super-3 number, since 3×101100221102120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100221102095 and 101100221102104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1263752763737 + ... + 1263752763816.

Almost surely, 2^{101100221102120} is an apocalyptic number.

101100221102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100221102120 is an abundant number, since it is smaller than the sum of its proper divisors (126375276377740).

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

101100221102120 is a wasteful number, since it uses less digits than its factorization.

101100221102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527505527564 (or 2527505527560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100221102120 its reverse (21201122001101), we get a palindrome (122301343103221).

The spelling of 101100221102120 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".