102022222112100 has 108 divisors (see below), whose sum is σ = 319886519168580. Its totient is φ = 27197117798400.

The previous prime is 102022222112099. The next prime is 102022222112119. The reversal of 102022222112100 is 1211222220201.

It is a happy number.

102022222112100 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 222 + 211 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8996544331776 + 93025677780324 = 2999424^2 + 9644982^2 .

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 35 ways as a sum of consecutive naturals, for example, 15568561 + ... + 21128760.

Almost surely, 2^{102022222112100} is an apocalyptic number.

102022222112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022222112100 is an abundant number, since it is smaller than the sum of its proper divisors (217864297056480).

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

102022222112100 is a wasteful number, since it uses less digits than its factorization.

102022222112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36700430 (or 36700420 counting only the distinct ones).

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

Adding to 102022222112100 its reverse (1211222220201), we get a palindrome (103233444332301).

The spelling of 102022222112100 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".