101211021221112 has 96 divisors (see below), whose sum is σ = 307114523941680. Its totient is φ = 29841087329280.

The previous prime is 101211021221071. The next prime is 101211021221143. The reversal of 101211021221112 is 211122120112101.

It is a happy number.

101211021221112 is a `hidden beast` number, since 101 + 211 + 0 + 21 + 221 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726885473 + ... + 1726944080.

Almost surely, 2^{101211021221112} is an apocalyptic number.

101211021221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211021221112 is an abundant number, since it is smaller than the sum of its proper divisors (205903502720568).

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

101211021221112 is a wasteful number, since it uses less digits than its factorization.

101211021221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453829613 (or 3453829606 counting only the distinct ones).

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

Adding to 101211021221112 its reverse (211122120112101), we get a palindrome (312333141333213).

It can be divided in two parts, 1012110 and 21221112, that added together give a palindrome (22233222).

The spelling of 101211021221112 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, two hundred twenty-one thousand, one hundred twelve".