101210112221 has 16 divisors (see below), whose sum is σ = 109472580864. Its totient is φ = 93205261824.

The previous prime is 101210112197. The next prime is 101210112233. The reversal of 101210112221 is 122211012101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210112221 is a prime.

It is a super-3 number, since 3×101210112221³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101210112196 and 101210112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3471521 + ... + 3500553.

It is an arithmetic number, because the mean of its divisors is an integer number (6842036304).

Almost surely, 2^101210112221 is an apocalyptic number.

It is an amenable number.

101210112221 is a deficient number, since it is larger than the sum of its proper divisors (8262468643).

101210112221 is a wasteful number, since it uses less digits than its factorization.

101210112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33460.

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

Adding to 101210112221 its reverse (122211012101), we get a palindrome (223421124322).

It can be divided in two parts, 1012101 and 12221, that multiplied together give a palindrome (12368886321).

The spelling of 101210112221 in words is "one hundred one billion, two hundred ten million, one hundred twelve thousand, two hundred twenty-one".