10010121021000 has 320 divisors, whose sum is σ = 35001285462000. Its totient is φ = 2668575974400.

The previous prime is 10010121020987. The next prime is 10010121021013. The reversal of 10010121021000 is 12012101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010121020987) and next prime (10010121021013).

It can be written as a sum of positive squares in 8 ways, for example, as 1209203731044 + 8800917289956 = 1099638^2 + 2966634^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 79 ways as a sum of consecutive naturals, for example, 305272606 + ... + 305305394.

Almost surely, 2^{10010121021000} is an apocalyptic number.

10010121021000 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 10010121021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500642731000).

10010121021000 is an abundant number, since it is smaller than the sum of its proper divisors (24991164441000).

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

10010121021000 is a wasteful number, since it uses less digits than its factorization.

10010121021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36591 (or 36568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010121021000 its reverse (12012101001), we get a palindrome (10022133122001).

The spelling of 10010121021000 in words is "ten trillion, ten billion, one hundred twenty-one million, twenty-one thousand".