102001112210010 has 256 divisors, whose sum is σ = 265809008424960. Its totient is φ = 24901908433920.

The previous prime is 102001112210003. The next prime is 102001112210027. The reversal of 102001112210010 is 10012211100201.

It is a super-2 number, since 2×102001112210010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23378662089 + ... + 23378666451.

It is an arithmetic number, because the mean of its divisors is an integer number (1038316439160).

Almost surely, 2^{102001112210010} is an apocalyptic number.

102001112210010 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 102001112210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132904504212480).

102001112210010 is an abundant number, since it is smaller than the sum of its proper divisors (163807896214950).

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

102001112210010 is a wasteful number, since it uses less digits than its factorization.

102001112210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613.

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

Adding to 102001112210010 its reverse (10012211100201), we get a palindrome (112013323310211).

The spelling of 102001112210010 in words is "one hundred two trillion, one billion, one hundred twelve million, two hundred ten thousand, ten".