102222102021120 has 220 divisors, whose sum is σ = 366306219415884. Its totient is φ = 27259227095040.

The previous prime is 102222102021119. The next prime is 102222102021131. The reversal of 102222102021120 is 21120201222201.

It is a happy number.

102222102021120 is a `hidden beast` number, since 1 + 0 + 222 + 210 + 2 + 0 + 211 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39143942406144 + 63078159614976 = 6256512^2 + 7942176^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102222102021093 and 102222102021102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122827591 + ... + 123657030.

Almost surely, 2^{102222102021120} is an apocalyptic number.

102222102021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222102021120 is an abundant number, since it is smaller than the sum of its proper divisors (264084117394764).

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

102222102021120 is an equidigital number, since it uses as much as digits as its factorization.

102222102021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246484658 (or 246484631 counting only the distinct ones).

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

Adding to 102222102021120 its reverse (21120201222201), we get a palindrome (123342303243321).

The spelling of 102222102021120 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred two million, twenty-one thousand, one hundred twenty".