10110013200 has 540 divisors, whose sum is σ = 41942748900. Its totient is φ = 2246952960.

The previous prime is 10110013157. The next prime is 10110013211. The reversal of 10110013200 is 231001101.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 10109900304 = 336^2 + 100548^2 .

It is a super-3 number, since 3×10110013200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6526026 + ... + 6527574.

Almost surely, 2^10110013200 is an apocalyptic number.

10110013200 is a gapful number since it is divisible by the number (10) 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 10110013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971374450).

10110013200 is an abundant number, since it is smaller than the sum of its proper divisors (31832735700).

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

10110013200 is a wasteful number, since it uses less digits than its factorization.

10110013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10110013200 its reverse (231001101), we get a palindrome (10341014301).

The spelling of 10110013200 in words is "ten billion, one hundred ten million, thirteen thousand, two hundred".