101022110020001 has 2 divisors, whose sum is σ = 101022110020002. Its totient is φ = 101022110020000.

The previous prime is 101022110019907. The next prime is 101022110020061. The reversal of 101022110020001 is 100020011220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87258017440000 + 13764092580001 = 9341200^2 + 3709999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022110020001 is a prime.

It is a super-3 number, since 3×101022110020001³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101022110020061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511055010000 + 50511055010001.

It is an arithmetic number, because the mean of its divisors is an integer number (50511055010001).

Almost surely, 2^{101022110020001} is an apocalyptic number.

It is an amenable number.

101022110020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022110020001 is an equidigital number, since it uses as much as digits as its factorization.

101022110020001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101022110020001 its reverse (100020011220101), we get a palindrome (201042121240102).

The spelling of 101022110020001 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, twenty thousand, one".