1010221021001 has 24 divisors (see below), whose sum is σ = 1090988129280. Its totient is φ = 934382433600.

The previous prime is 1010221020989. The next prime is 1010221021013. The reversal of 1010221021001 is 1001201220101.

It is an interprime number because it is at equal distance from previous prime (1010221020989) and next prime (1010221021013).

It is not a de Polignac number, because 1010221021001 - 2³⁰ = 1009147279177 is a prime.

It is a super-2 number, since 2×1010221021001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010221021801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21114416 + ... + 21162206.

It is an arithmetic number, because the mean of its divisors is an integer number (45457838720).

Almost surely, 2^{1010221021001} is an apocalyptic number.

It is an amenable number.

1010221021001 is a deficient number, since it is larger than the sum of its proper divisors (80767108279).

1010221021001 is a wasteful number, since it uses less digits than its factorization.

1010221021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49157 (or 49134 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010221021001 its reverse (1001201220101), we get a palindrome (2011422241102).

The spelling of 1010221021001 in words is "one trillion, ten billion, two hundred twenty-one million, twenty-one thousand, one".