10202110000 has 100 divisors (see below), whose sum is σ = 25774836912. Its totient is φ = 3903328000.

The previous prime is 10202109979. The next prime is 10202110001. The reversal of 10202110000 is 1120201.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (10202110001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 207822 + ... + 252178.

Almost surely, 2^10202110000 is an apocalyptic number.

10202110000 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 10202110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887418456).

10202110000 is an abundant number, since it is smaller than the sum of its proper divisors (15572726912).

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

10202110000 is an equidigital number, since it uses as much as digits as its factorization.

10202110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44408 (or 44387 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10202110000 its reverse (1120201), we get a palindrome (10203230201).

The spelling of 10202110000 in words is "ten billion, two hundred two million, one hundred ten thousand".