10202121010000 has 100 divisors (see below), whose sum is σ = 24712884345600. Its totient is φ = 4078778416000.

The previous prime is 10202121009991. The next prime is 10202121010007. The reversal of 10202121010000 is 1012120201.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202121010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19532241 + ... + 20047759.

It is an arithmetic number, because the mean of its divisors is an integer number (247128843456).

Almost surely, 2^{10202121010000} is an apocalyptic number.

10202121010000 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 10202121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356442172800).

10202121010000 is an abundant number, since it is smaller than the sum of its proper divisors (14510763335600).

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

10202121010000 is an equidigital number, since it uses as much as digits as its factorization.

10202121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517526 (or 517505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202121010000 its reverse (1012120201), we get a palindrome (10203133130201).

The spelling of 10202121010000 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, ten thousand".