1021001021001 has 48 divisors (see below), whose sum is σ = 1595976782400. Its totient is φ = 625246667136.

The previous prime is 1021001020981. The next prime is 1021001021057. The reversal of 1021001021001 is 1001201001201.

It is a happy number.

It is not a de Polignac number, because 1021001021001 - 2⁵ = 1021001020969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1021001020001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27772290 + ... + 27809028.

It is an arithmetic number, because the mean of its divisors is an integer number (33249516300).

Almost surely, 2^{1021001021001} is an apocalyptic number.

It is an amenable number.

1021001021001 is a deficient number, since it is larger than the sum of its proper divisors (574975761399).

1021001021001 is a wasteful number, since it uses less digits than its factorization.

1021001021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37910 (or 37907 counting only the distinct ones).

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

Adding to 1021001021001 its reverse (1001201001201), we get a palindrome (2022202022202).

The spelling of 1021001021001 in words is "one trillion, twenty-one billion, one million, twenty-one thousand, one".