101012112211221 has 12 divisors (see below), whose sum is σ = 146835724334572. Its totient is φ = 66912481973376.

The previous prime is 101012112211181. The next prime is 101012112211247. The reversal of 101012112211221 is 122112211210101.

It is a happy number.

101012112211221 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 211 + 221 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17362338910596 + 83649773300625 = 4166814^2 + 9146025^2 .

It is not a de Polignac number, because 101012112211221 - 2²³ = 101012103822613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012112211194 and 101012112211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012112211271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35743845796 + ... + 35743848621.

Almost surely, 2^{101012112211221} is an apocalyptic number.

It is an amenable number.

101012112211221 is a deficient number, since it is larger than the sum of its proper divisors (45823612123351).

101012112211221 is a wasteful number, since it uses less digits than its factorization.

101012112211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71487694580 (or 71487694577 counting only the distinct ones).

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

Adding to 101012112211221 its reverse (122112211210101), we get a palindrome (223124323421322).

The spelling of 101012112211221 in words is "one hundred one trillion, twelve billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty-one".