101220112001 has 2 divisors, whose sum is σ = 101220112002. Its totient is φ = 101220112000.

The previous prime is 101220111919. The next prime is 101220112003. The reversal of 101220112001 is 100211022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76319587600 + 24900524401 = 276260^2 + 157799^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220112001 - 2¹⁰ = 101220110977 is a prime.

It is a super-2 number, since 2×101220112001² (a number of 23 digits) contains 22 as substring.

Together with 101220112003, 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 (101220112003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610056000 + 50610056001.

It is an arithmetic number, because the mean of its divisors is an integer number (50610056001).

Almost surely, 2^101220112001 is an apocalyptic number.

It is an amenable number.

101220112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220112001 is an equidigital number, since it uses as much as digits as its factorization.

101220112001 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 101220112001 its reverse (100211022101), we get a palindrome (201431134102).

The spelling of 101220112001 in words is "one hundred one billion, two hundred twenty million, one hundred twelve thousand, one".