102202002012 has 96 divisors (see below), whose sum is σ = 265025617920. Its totient is φ = 30394653120.

The previous prime is 102202001929. The next prime is 102202002013. The reversal of 102202002012 is 210200202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202002013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712133 + ... + 1770819.

It is an arithmetic number, because the mean of its divisors is an integer number (2760683520).

Almost surely, 2^102202002012 is an apocalyptic number.

102202002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132512808960).

102202002012 is an abundant number, since it is smaller than the sum of its proper divisors (162823615908).

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

102202002012 is a wasteful number, since it uses less digits than its factorization.

102202002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58951 (or 58949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102202002012 its reverse (210200202201), we get a palindrome (312402204213).

It can be divided in two parts, 10 and 2202002012, that added together give a palindrome (2202002022).

The spelling of 102202002012 in words is "one hundred two billion, two hundred two million, two thousand, twelve".