102222112220100 has 144 divisors (see below), whose sum is σ = 328628613297600. Its totient is φ = 27258943541760.

The previous prime is 102222112220093. The next prime is 102222112220119. The reversal of 102222112220100 is 1022211222201.

It is a happy number.

102222112220100 is a `hidden beast` number, since 1 + 0 + 222 + 211 + 2 + 220 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425775292 + ... + 426015308.

It is an arithmetic number, because the mean of its divisors is an integer number (2282143147900).

Almost surely, 2^{102222112220100} is an apocalyptic number.

102222112220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222112220100 is an abundant number, since it is smaller than the sum of its proper divisors (226406501077500).

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

102222112220100 is a wasteful number, since it uses less digits than its factorization.

102222112220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397779 (or 397766 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102222112220100 its reverse (1022211222201), we get a palindrome (103244323442301).

It can be divided in two parts, 1022221 and 12220100, that added together give a square (13242321 = 3639²).

The spelling of 102222112220100 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred".