10102012112010 has 192 divisors, whose sum is σ = 30378266860032. Its totient is φ = 2131018896384.

The previous prime is 10102012112009. The next prime is 10102012112041. The reversal of 10102012112010 is 1021121020101.

It is a super-2 number, since 2×10102012112010² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109587999 + ... + 109680141.

It is an arithmetic number, because the mean of its divisors is an integer number (158220139896).

Almost surely, 2^{10102012112010} is an apocalyptic number.

10102012112010 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 10102012112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189133430016).

10102012112010 is an abundant number, since it is smaller than the sum of its proper divisors (20276254748022).

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

10102012112010 is a wasteful number, since it uses less digits than its factorization.

10102012112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97917 (or 97910 counting only the distinct ones).

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

Adding to 10102012112010 its reverse (1021121020101), we get a palindrome (11123133132111).

The spelling of 10102012112010 in words is "ten trillion, one hundred two billion, twelve million, one hundred twelve thousand, ten".