102112012210000 has 200 divisors, whose sum is σ = 267816022470920. Its totient is φ = 37702888704000.

The previous prime is 102112012209941. The next prime is 102112012210001. The reversal of 102112012210000 is 12210211201.

It can be written as a sum of positive squares in 20 ways, for example, as 54139987408144 + 47972024801856 = 7357988^2 + 6926184^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112012210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19646104 + ... + 24293896.

Almost surely, 2^{102112012210000} is an apocalyptic number.

102112012210000 is a gapful number since it is divisible by the number (10) 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 102112012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133908011235460).

102112012210000 is an abundant number, since it is smaller than the sum of its proper divisors (165704010260920).

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

102112012210000 is an frugal number, since it uses more digits than its factorization.

102112012210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647860 (or 4647813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112012210000 its reverse (12210211201), we get a palindrome (102124222421201).

The spelling of 102112012210000 in words is "one hundred two trillion, one hundred twelve billion, twelve million, two hundred ten thousand".