10510010200 has 48 divisors (see below), whose sum is σ = 24505161480. Its totient is φ = 4192066560.

The previous prime is 10510010191. The next prime is 10510010201. The reversal of 10510010200 is 201001501.

It is a happy number.

It is a super-2 number, since 2×10510010200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510010201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3834 + ... + 145033.

Almost surely, 2^10510010200 is an apocalyptic number.

10510010200 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 10510010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252580740).

10510010200 is an abundant number, since it is smaller than the sum of its proper divisors (13995151280).

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

10510010200 is a wasteful number, since it uses less digits than its factorization.

10510010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149236 (or 149227 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 10510010200 its reverse (201001501), we get a palindrome (10711011701).

The spelling of 10510010200 in words is "ten billion, five hundred ten million, ten thousand, two hundred".