1010001022021 has 16 divisors (see below), whose sum is σ = 1064631774960. Its totient is φ = 956693570560.

The previous prime is 1010001022007. The next prime is 1010001022049. The reversal of 1010001022021 is 1202201000101.

It can be written as a sum of positive squares in 8 ways, for example, as 24922936900 + 985078085121 = 157870^2 + 992511^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001022021 - 2⁹ = 1010001021509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010001021989 and 1010001022007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001922021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26714151 + ... + 26751931.

It is an arithmetic number, because the mean of its divisors is an integer number (66539485935).

Almost surely, 2^{1010001022021} is an apocalyptic number.

It is an amenable number.

1010001022021 is a deficient number, since it is larger than the sum of its proper divisors (54630752939).

1010001022021 is a wasteful number, since it uses less digits than its factorization.

1010001022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55256.

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

Adding to 1010001022021 its reverse (1202201000101), we get a palindrome (2212202022122).

The spelling of 1010001022021 in words is "one trillion, ten billion, one million, twenty-two thousand, twenty-one".