102112022120202 has 48 divisors (see below), whose sum is σ = 224567416173672. Its totient is φ = 33529269513600.

The previous prime is 102112022120159. The next prime is 102112022120219. The reversal of 102112022120202 is 202021220211201.

It is a happy number.

102112022120202 is a `hidden beast` number, since 10 + 211 + 2 + 0 + 221 + 20 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100758613303881 + 1353408816321 = 10037859^2 + 1163361^2 .

It is a super-2 number, since 2×102112022120202² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 142198273 + ... + 142914564.

Almost surely, 2^{102112022120202} is an apocalyptic number.

102112022120202 is an abundant number, since it is smaller than the sum of its proper divisors (122455394053470).

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

102112022120202 is a wasteful number, since it uses less digits than its factorization.

102112022120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285113143 (or 285113140 counting only the distinct ones).

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

Adding to 102112022120202 its reverse (202021220211201), we get a palindrome (304133242331403).

The spelling of 102112022120202 in words is "one hundred two trillion, one hundred twelve billion, twenty-two million, one hundred twenty thousand, two hundred two".