10210122600 has 96 divisors (see below), whose sum is σ = 31753086720. Its totient is φ = 2713950720.

The previous prime is 10210122581. The next prime is 10210122613. The reversal of 10210122600 is 622101201.

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 10210122600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160617 + ... + 214983.

It is an arithmetic number, because the mean of its divisors is an integer number (330761320).

Almost surely, 2^10210122600 is an apocalyptic number.

10210122600 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 10210122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876543360).

10210122600 is an abundant number, since it is smaller than the sum of its proper divisors (21542964120).

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

10210122600 is a wasteful number, since it uses less digits than its factorization.

10210122600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54699 (or 54690 counting only the distinct ones).

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

Adding to 10210122600 its reverse (622101201), we get a palindrome (10832223801).

The spelling of 10210122600 in words is "ten billion, two hundred ten million, one hundred twenty-two thousand, six hundred".