10102400112 has 160 divisors (see below), whose sum is σ = 30398054400. Its totient is φ = 2831558400.

The previous prime is 10102400089. The next prime is 10102400167. The reversal of 10102400112 is 21100420101.

It is a happy number.

It is a super-2 number, since 2×10102400112² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209889 + ... + 4212287.

It is an arithmetic number, because the mean of its divisors is an integer number (189987840).

Almost surely, 2^10102400112 is an apocalyptic number.

10102400112 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 10102400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199027200).

10102400112 is an abundant number, since it is smaller than the sum of its proper divisors (20295654288).

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

10102400112 is a wasteful number, since it uses less digits than its factorization.

10102400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102400112 its reverse (21100420101), we get a palindrome (31202820213).

The spelling of 10102400112 in words is "ten billion, one hundred two million, four hundred thousand, one hundred twelve".