10210020900 has 288 divisors, whose sum is σ = 31272248448. Its totient is φ = 2569420800.

The previous prime is 10210020853. The next prime is 10210020901. The reversal of 10210020900 is 902001201.

It is a happy number.

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 10210020900.

It is not an unprimeable number, because it can be changed into a prime (10210020901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74525632 + ... + 74525768.

It is an arithmetic number, because the mean of its divisors is an integer number (108584196).

Almost surely, 2^10210020900 is an apocalyptic number.

10210020900 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 10210020900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636124224).

10210020900 is an abundant number, since it is smaller than the sum of its proper divisors (21062227548).

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

10210020900 is a wasteful number, since it uses less digits than its factorization.

10210020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 10210020900 in words is "ten billion, two hundred ten million, twenty thousand, nine hundred".