1002021021001 has 64 divisors (see below), whose sum is σ = 1355209261056. Its totient is φ = 715474425600.

The previous prime is 1002021020989. The next prime is 1002021021007. The reversal of 1002021021001 is 1001201202001.

1002021021001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002021021001 - 2⁹ = 1002021020489 is a prime.

It is a super-2 number, since 2×1002021021001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002021021007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161691435 + ... + 161697631.

It is an arithmetic number, because the mean of its divisors is an integer number (21175144704).

Almost surely, 2^{1002021021001} is an apocalyptic number.

1002021021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002021021001 is a deficient number, since it is larger than the sum of its proper divisors (353188240055).

1002021021001 is a wasteful number, since it uses less digits than its factorization.

1002021021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382.

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

Adding to 1002021021001 its reverse (1001201202001), we get a palindrome (2003222223002).

The spelling of 1002021021001 in words is "one trillion, two billion, twenty-one million, twenty-one thousand, one".