102112333002 has 12 divisors (see below), whose sum is σ = 221243388210. Its totient is φ = 34037444328.

The previous prime is 102112332967. The next prime is 102112333007. The reversal of 102112333002 is 200333211201.

It can be written as a sum of positive squares in only one way, i.e., 101053416321 + 1058916681 = 317889^2 + 32541^2 .

It is a super-2 number, since 2×102112333002² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5672907389 = 102112333002 / (1 + 0 + 2 + 1 + 1 + 2 + 3 + 3 + 3 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (102112333007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2836453677 + ... + 2836453712.

Almost surely, 2^102112333002 is an apocalyptic number.

102112333002 is an abundant number, since it is smaller than the sum of its proper divisors (119131055208).

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

102112333002 is a wasteful number, since it uses less digits than its factorization.

102112333002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672907397 (or 5672907394 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102112333002 its reverse (200333211201), we get a palindrome (302445544203).

The spelling of 102112333002 in words is "one hundred two billion, one hundred twelve million, three hundred thirty-three thousand, two".