112222210102101 has 48 divisors (see below), whose sum is σ = 181216499038848. Its totient is φ = 66329521574400.

The previous prime is 112222210102087. The next prime is 112222210102109. The reversal of 112222210102101 is 101201012222211.

112222210102101 is a `hidden beast` number, since 1 + 1 + 222 + 221 + 0 + 10 + 210 + 1 = 666.

It is not a de Polignac number, because 112222210102101 - 2¹⁷ = 112222209971029 is a prime.

It is a super-2 number, since 2×112222210102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222210102109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5521705 + ... + 15966641.

It is an arithmetic number, because the mean of its divisors is an integer number (3775343729976).

Almost surely, 2^{112222210102101} is an apocalyptic number.

112222210102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112222210102101 is a deficient number, since it is larger than the sum of its proper divisors (68994288936747).

112222210102101 is a wasteful number, since it uses less digits than its factorization.

112222210102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10447642 (or 10447639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112222210102101 its reverse (101201012222211), we get a palindrome (213423222324312).

The spelling of 112222210102101 in words is "one hundred twelve trillion, two hundred twenty-two billion, two hundred ten million, one hundred two thousand, one hundred one".