10210101020000 has 240 divisors, whose sum is σ = 28729198713600. Its totient is φ = 3497865024000.

The previous prime is 10210101019969. The next prime is 10210101020011. The reversal of 10210101020000 is 2010101201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10210101020000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182952101 + ... + 183007899.

It is an arithmetic number, because the mean of its divisors is an integer number (119704994640).

Almost surely, 2^{10210101020000} is an apocalyptic number.

10210101020000 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 10210101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364599356800).

10210101020000 is an abundant number, since it is smaller than the sum of its proper divisors (18519097693600).

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

10210101020000 is an equidigital number, since it uses as much as digits as its factorization.

10210101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57143 (or 57120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10210101020000 its reverse (2010101201), we get a palindrome (10212111121201).

The spelling of 10210101020000 in words is "ten trillion, two hundred ten billion, one hundred one million, twenty thousand".