10212101002000 has 80 divisors (see below), whose sum is σ = 24693553855152. Its totient is φ = 4084725657600.

The previous prime is 10212101001937. The next prime is 10212101002043. The reversal of 10212101002000 is 20010121201.

It can be written as a sum of positive squares in 8 ways, for example, as 1057869846784 + 9154231155216 = 1028528^2 + 3025596^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131227102 + ... + 131304898.

Almost surely, 2^{10212101002000} is an apocalyptic number.

10212101002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212101002000 is an abundant number, since it is smaller than the sum of its proper divisors (14481452853152).

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

10212101002000 is an equidigital number, since it uses as much as digits as its factorization.

10212101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143453 (or 143437 counting only the distinct ones).

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

Adding to 10212101002000 its reverse (20010121201), we get a palindrome (10232111123201).

The spelling of 10212101002000 in words is "ten trillion, two hundred twelve billion, one hundred one million, two thousand".