10021012001000 has 1728 divisors, whose sum is σ = 33151581393840. Its totient is φ = 2822916096000.

The previous prime is 10021012000999. The next prime is 10021012001017. The reversal of 10021012001000 is 10021012001.

It can be written as a sum of positive squares in 24 ways, for example, as 6326643539524 + 3694368461476 = 2515282^2 + 1922074^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 73146072932 + ... + 73146073068.

Almost surely, 2^{10021012001000} is an apocalyptic number.

10021012001000 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 10021012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575790696920).

10021012001000 is an abundant number, since it is smaller than the sum of its proper divisors (23130569392840).

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

10021012001000 is a wasteful number, since it uses less digits than its factorization.

10021012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 248 counting only the distinct ones).

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

Adding to 10021012001000 its reverse (10021012001), we get a palindrome (10031033013001).

10021012001000 divided by its reverse (10021012001) gives a cube (1000 = 10³).

The spelling of 10021012001000 in words is "ten trillion, twenty-one billion, twelve million, one thousand".