10010120210112 has 224 divisors, whose sum is σ = 29955158784000. Its totient is φ = 2922695884800.

The previous prime is 10010120210059. The next prime is 10010120210119. The reversal of 10010120210112 is 21101202101001.

It is a super-2 number, since 2×10010120210112² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10010120210119) 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, 14659264 + ... + 15326912.

Almost surely, 2^{10010120210112} is an apocalyptic number.

10010120210112 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 10010120210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977579392000).

10010120210112 is an abundant number, since it is smaller than the sum of its proper divisors (19945038573888).

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

10010120210112 is a wasteful number, since it uses less digits than its factorization.

10010120210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667935 (or 667925 counting only the distinct ones).

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

Adding to 10010120210112 its reverse (21101202101001), we get a palindrome (31111322311113).

The spelling of 10010120210112 in words is "ten trillion, ten billion, one hundred twenty million, two hundred ten thousand, one hundred twelve".