1010122021001 has 2 divisors, whose sum is σ = 1010122021002. Its totient is φ = 1010122021000.

The previous prime is 1010122020989. The next prime is 1010122021003. The reversal of 1010122021001 is 1001202210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 932671131001 + 77450890000 = 965749^2 + 278300^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010122021001 - 2⁶ = 1010122020937 is a prime.

It is a super-2 number, since 2×1010122021001² (a number of 25 digits) contains 22 as substring.

Together with 1010122021003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1010122021003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505061010500 + 505061010501.

It is an arithmetic number, because the mean of its divisors is an integer number (505061010501).

Almost surely, 2^{1010122021001} is an apocalyptic number.

It is an amenable number.

1010122021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010122021001 is an equidigital number, since it uses as much as digits as its factorization.

1010122021001 is an evil number, because the sum of its binary digits is even.

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

Adding to 1010122021001 its reverse (1001202210101), we get a palindrome (2011324231102).

The spelling of 1010122021001 in words is "one trillion, ten billion, one hundred twenty-two million, twenty-one thousand, one".