10210099200 has 360 divisors, whose sum is σ = 38615778432. Its totient is φ = 2331770880.

The previous prime is 10210099183. The next prime is 10210099219. The reversal of 10210099200 is 299001201.

It is a super-2 number, since 2×10210099200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601007 + ... + 8602193.

Almost surely, 2^10210099200 is an apocalyptic number.

10210099200 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 10210099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307889216).

10210099200 is an abundant number, since it is smaller than the sum of its proper divisors (28405679232).

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

10210099200 is an equidigital number, since it uses as much as digits as its factorization.

10210099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 10210099200 in words is "ten billion, two hundred ten million, ninety-nine thousand, two hundred".