101100221120112 has 40 divisors (see below), whose sum is σ = 261185783349504. Its totient is φ = 33698756013504.

The previous prime is 101100221120099. The next prime is 101100221120141. The reversal of 101100221120112 is 211021122001101.

It is a happy number.

It is a super-3 number, since 3×101100221120112³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100221120091 and 101100221120100.

It is a congruent number.

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, 39937138 + ... + 42393105.

Almost surely, 2^{101100221120112} is an apocalyptic number.

101100221120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100221120112 is an abundant number, since it is smaller than the sum of its proper divisors (160085562229392).

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

101100221120112 is a wasteful number, since it uses less digits than its factorization.

101100221120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82355837 (or 82355831 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101100221120112 its reverse (211021122001101), we get a palindrome (312121343121213).

The spelling of 101100221120112 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twelve".