10202102110000 has 200 divisors, whose sum is σ = 24784180898400. Its totient is φ = 4067012352000.

The previous prime is 10202102109977. The next prime is 10202102110001. The reversal of 10202102110000 is 1120120201.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (10202102110001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4774028932 + ... + 4774031068.

It is an arithmetic number, because the mean of its divisors is an integer number (123920904492).

Almost surely, 2^{10202102110000} is an apocalyptic number.

10202102110000 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 10202102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392090449200).

10202102110000 is an abundant number, since it is smaller than the sum of its proper divisors (14582078788400).

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

10202102110000 is an equidigital number, since it uses as much as digits as its factorization.

10202102110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3540 counting only the distinct ones).

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

Adding to 10202102110000 its reverse (1120120201), we get a palindrome (10203222230201).

The spelling of 10202102110000 in words is "ten trillion, two hundred two billion, one hundred two million, one hundred ten thousand".