102002220112 has 20 divisors (see below), whose sum is σ = 212831555860. Its totient is φ = 47077947648.

The previous prime is 102002220091. The next prime is 102002220121. The reversal of 102002220112 is 211022200201.

It is a happy number.

102002220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41606208576 + 60396011536 = 203976^2 + 245756^2 .

It is a super-3 number, since 3×102002220112³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102002220092 and 102002220101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 245197437 + ... + 245197852.

It is an arithmetic number, because the mean of its divisors is an integer number (10641577793).

Almost surely, 2^102002220112 is an apocalyptic number.

It is an amenable number.

102002220112 is an abundant number, since it is smaller than the sum of its proper divisors (110829335748).

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

102002220112 is a wasteful number, since it uses less digits than its factorization.

102002220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490395310 (or 490395304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102002220112 its reverse (211022200201), we get a palindrome (313024420313).

The spelling of 102002220112 in words is "one hundred two billion, two million, two hundred twenty thousand, one hundred twelve".