102220142112 has 144 divisors (see below), whose sum is σ = 335768745312. Its totient is φ = 29153679360.

The previous prime is 102220142111. The next prime is 102220142113. The reversal of 102220142112 is 211241022201.

102220142112 is a `hidden beast` number, since 10 + 2 + 220 + 1 + 421 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (102220142111) and next prime (102220142113).

It is a tau number, because it is divible by the number of its divisors (144).

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 (102220142111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895158 + ... + 1002869.

It is an arithmetic number, because the mean of its divisors is an integer number (2331727398).

Almost surely, 2^102220142112 is an apocalyptic number.

102220142112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220142112 is an abundant number, since it is smaller than the sum of its proper divisors (233548603200).

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

102220142112 is a wasteful number, since it uses less digits than its factorization.

102220142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898071 (or 1898060 counting only the distinct ones).

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

Adding to 102220142112 its reverse (211241022201), we get a palindrome (313461164313).

The spelling of 102220142112 in words is "one hundred two billion, two hundred twenty million, one hundred forty-two thousand, one hundred twelve".