1021102122001 has 8 divisors (see below), whose sum is σ = 1099695822120. Its totient is φ = 942515190912.

The previous prime is 1021102121983. The next prime is 1021102122077. The reversal of 1021102122001 is 1002212011201.

It can be written as a sum of positive squares in 4 ways, for example, as 81513105025 + 939589016976 = 285505^2 + 969324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1021102122001 - 2²³ = 1021093733393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021102120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376770 + ... + 1984363.

It is an arithmetic number, because the mean of its divisors is an integer number (137461977765).

Almost surely, 2^{1021102122001} is an apocalyptic number.

It is an amenable number.

1021102122001 is a deficient number, since it is larger than the sum of its proper divisors (78593700119).

1021102122001 is a wasteful number, since it uses less digits than its factorization.

1021102122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384515.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021102122001 its reverse (1002212011201), we get a palindrome (2023314133202).

The spelling of 1021102122001 in words is "one trillion, twenty-one billion, one hundred two million, one hundred twenty-two thousand, one".