1001002101021 has 48 divisors (see below), whose sum is σ = 1590505652736. Its totient is φ = 602795870208.

The previous prime is 1001002101013. The next prime is 1001002101107. The reversal of 1001002101021 is 1201012001001.

It is a happy number.

It is not a de Polignac number, because 1001002101021 - 2³ = 1001002101013 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001002100994 and 1001002101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002101221) 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, 46802296 + ... + 46823678.

It is an arithmetic number, because the mean of its divisors is an integer number (33135534432).

Almost surely, 2^{1001002101021} is an apocalyptic number.

It is an amenable number.

1001002101021 is a deficient number, since it is larger than the sum of its proper divisors (589503551715).

1001002101021 is a wasteful number, since it uses less digits than its factorization.

1001002101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29962 (or 29959 counting only the distinct ones).

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

Adding to 1001002101021 its reverse (1201012001001), we get a palindrome (2202014102022).

The spelling of 1001002101021 in words is "one trillion, one billion, two million, one hundred one thousand, twenty-one".