101112010221 has 16 divisors (see below), whose sum is σ = 138737240000. Its totient is φ = 65454697728.

The previous prime is 101112010187. The next prime is 101112010229. The reversal of 101112010221 is 122010211101.

It is not a de Polignac number, because 101112010221 - 2¹⁰ = 101112009197 is a prime.

It is a super-2 number, since 2×101112010221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112010197 and 101112010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112010229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857356 + ... + 968133.

It is an arithmetic number, because the mean of its divisors is an integer number (8671077500).

Almost surely, 2^101112010221 is an apocalyptic number.

It is an amenable number.

101112010221 is a deficient number, since it is larger than the sum of its proper divisors (37625229779).

101112010221 is a wasteful number, since it uses less digits than its factorization.

101112010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826028.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112010221 its reverse (122010211101), we get a palindrome (223122221322).

The spelling of 101112010221 in words is "one hundred one billion, one hundred twelve million, ten thousand, two hundred twenty-one".