10210113022200 has 1536 divisors, whose sum is σ = 40904255293440. Its totient is φ = 2049579417600.

The previous prime is 10210113022189. The next prime is 10210113022211. The reversal of 10210113022200 is 222031101201.

It is an interprime number because it is at equal distance from previous prime (10210113022189) and next prime (10210113022211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10210113022200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32620169244 + ... + 32620169556.

It is an arithmetic number, because the mean of its divisors is an integer number (26630374540).

Almost surely, 2^{10210113022200} is an apocalyptic number.

10210113022200 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 10210113022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452127646720).

10210113022200 is an abundant number, since it is smaller than the sum of its proper divisors (30694142271240).

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

10210113022200 is a wasteful number, since it uses less digits than its factorization.

10210113022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10210113022200 its reverse (222031101201), we get a palindrome (10432144123401).

The spelling of 10210113022200 in words is "ten trillion, two hundred ten billion, one hundred thirteen million, twenty-two thousand, two hundred".