101021002001 has 2 divisors, whose sum is σ = 101021002002. Its totient is φ = 101021002000.

The previous prime is 101021001989. The next prime is 101021002009. The reversal of 101021002001 is 100200120101.

It is an a-pointer prime, because the next prime (101021002009) can be obtained adding 101021002001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101012730625 + 8271376 = 317825^2 + 2876^2 .

It is an emirp because it is prime and its reverse (100200120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101021002001 - 2¹⁴ = 101020985617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101021002001.

It is not a weakly prime, because it can be changed into another prime (101021002009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510501000 + 50510501001.

It is an arithmetic number, because the mean of its divisors is an integer number (50510501001).

Almost surely, 2^101021002001 is an apocalyptic number.

It is an amenable number.

101021002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021002001 is an equidigital number, since it uses as much as digits as its factorization.

101021002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101021002001 its reverse (100200120101), we get a palindrome (201221122102).

The spelling of 101021002001 in words is "one hundred one billion, twenty-one million, two thousand, one".