10210050000 has 300 divisors, whose sum is σ = 36950845932. Its totient is φ = 2721600000.

The previous prime is 10210049999. The next prime is 10210050013. The reversal of 10210050000 is 5001201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10182424464 + 27625536 = 100908^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4048740 + ... + 4051260.

Almost surely, 2^10210050000 is an apocalyptic number.

10210050000 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 10210050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18475422966).

10210050000 is an abundant number, since it is smaller than the sum of its proper divisors (26740795932).

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

10210050000 is an frugal number, since it uses more digits than its factorization.

10210050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 10210050000 its reverse (5001201), we get a palindrome (10215051201).

It can be divided in two parts, 102100 and 50000, that added together give a square (152100 = 390²).

The spelling of 10210050000 in words is "ten billion, two hundred ten million, fifty thousand".