102211222010112 has 54 divisors (see below), whose sum is σ = 294700150967222. Its totient is φ = 34070407335936.

The previous prime is 102211222010111. The next prime is 102211222010167. The reversal of 102211222010112 is 211010222112201.

102211222010112 is a `hidden beast` number, since 10 + 221 + 122 + 201 + 0 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84839131385856 + 17372090624256 = 9210816^2 + 4167984^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102211222010111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22181252473 + ... + 22181257080.

Almost surely, 2^{102211222010112} is an apocalyptic number.

102211222010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211222010112 is an abundant number, since it is smaller than the sum of its proper divisors (192488928957110).

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

102211222010112 is an equidigital number, since it uses as much as digits as its factorization.

102211222010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44362509575 (or 44362509558 counting only the distinct ones).

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

Adding to 102211222010112 its reverse (211010222112201), we get a palindrome (313221444122313).

The spelling of 102211222010112 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-two million, ten thousand, one hundred twelve".