Search a number
101020111122001 is a prime number
BaseRepresentation
bin10110111110000010010011…
…110101101010111001010001
3111020200102120020100210202011
4112332002103311222321101
5101220103141421401001
6554503555352222521
730164314345462111
oct2676022365527121
9436612506323664
10101020111122001
112a208430159755
12b3b645a99aa41
13444a203b25376
15ba2b71901d51
hex5be093d6ae51

101020111122001 has 2 divisors, whose sum is σ = 101020111122002. Its totient is φ = 101020111122000.

The previous prime is 101020111121999. The next prime is 101020111122059. The reversal of 101020111122001 is 100221111020101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91990657062976 + 9029454059025 = 9591176^2 + 3004905^2 .

It is an emirp because it is prime and its reverse (100221111020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101020111122001 - 21 = 101020111121999 is a prime.

It is a super-2 number, since 2×1010201111220012 (a number of 29 digits) contains 22 as substring.

Together with 101020111121999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101020111122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055561000 + 50510055561001.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055561001).

Almost surely, 2101020111122001 is an apocalyptic number.

It is an amenable number.

101020111122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111122001 is an equidigital number, since it uses as much as digits as its factorization.

101020111122001 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 13.

Adding to 101020111122001 its reverse (100221111020101), we get a palindrome (201241222142102).

The spelling of 101020111122001 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, one".