101112012112221 has 96 divisors (see below), whose sum is σ = 166611872194560. Its totient is φ = 58557331123200.

The previous prime is 101112012112151. The next prime is 101112012112231. The reversal of 101112012112221 is 122211210211101.

It is a happy number.

It is not a de Polignac number, because 101112012112221 - 2²² = 101112007917917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112012112194 and 101112012112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112012112231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32541645 + ... + 35513133.

It is an arithmetic number, because the mean of its divisors is an integer number (1735540335360).

Almost surely, 2^{101112012112221} is an apocalyptic number.

101112012112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112012112221 is a deficient number, since it is larger than the sum of its proper divisors (65499860082339).

101112012112221 is a wasteful number, since it uses less digits than its factorization.

101112012112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971727 (or 2971724 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112012112221 its reverse (122211210211101), we get a palindrome (223323222323322).

The spelling of 101112012112221 in words is "one hundred one trillion, one hundred twelve billion, twelve million, one hundred twelve thousand, two hundred twenty-one".