100102112120010 has 768 divisors, whose sum is σ = 335800178122752. Its totient is φ = 18569231493120.

The previous prime is 100102112119991. The next prime is 100102112120051. The reversal of 100102112120010 is 10021211201001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2041084549 + ... + 2041133591.

It is an arithmetic number, because the mean of its divisors is an integer number (437239815264).

Almost surely, 2^{100102112120010} is an apocalyptic number.

100102112120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102112120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167900089061376).

100102112120010 is an abundant number, since it is smaller than the sum of its proper divisors (235698066002742).

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

100102112120010 is a wasteful number, since it uses less digits than its factorization.

100102112120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49299 (or 49288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102112120010 its reverse (10021211201001), we get a palindrome (110123323321011).

The spelling of 100102112120010 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred twenty thousand, ten".