10210000010000 has 200 divisors, whose sum is σ = 28440409905600. Its totient is φ = 3477074112000.

The previous prime is 10210000009991. The next prime is 10210000010009. The reversal of 10210000010000 is 1000001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210000009991) and next prime (10210000010009).

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 (5).

It is not an unprimeable number, because it can be changed into a prime (10210000010009) 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, 9940547 + ... + 10919453.

It is an arithmetic number, because the mean of its divisors is an integer number (142202049528).

Almost surely, 2^{10210000010000} is an apocalyptic number.

10210000010000 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 10210000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220204952800).

10210000010000 is an abundant number, since it is smaller than the sum of its proper divisors (18230409895600).

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

10210000010000 is an equidigital number, since it uses as much as digits as its factorization.

10210000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979091 (or 979070 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10210000010000 its reverse (1000001201), we get a palindrome (10211000011201).

The spelling of 10210000010000 in words is "ten trillion, two hundred ten billion, ten thousand".