101022112001 has 2 divisors, whose sum is σ = 101022112002. Its totient is φ = 101022112000.

The previous prime is 101022111961. The next prime is 101022112021. The reversal of 101022112001 is 100211220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88795060225 + 12227051776 = 297985^2 + 110576^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022112001 - 2¹⁰ = 101022110977 is a prime.

It is a super-2 number, since 2×101022112001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101022112021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511056000 + 50511056001.

It is an arithmetic number, because the mean of its divisors is an integer number (50511056001).

Almost surely, 2^101022112001 is an apocalyptic number.

It is an amenable number.

101022112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022112001 is an equidigital number, since it uses as much as digits as its factorization.

101022112001 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 101022112001 its reverse (100211220101), we get a palindrome (201233332102).

The spelling of 101022112001 in words is "one hundred one billion, twenty-two million, one hundred twelve thousand, one".