Search a number
-
+
101221101997 is a prime number
BaseRepresentation
bin101111001000100111…
…1110111000110101101
3100200021021100202021121
41132101033313012231
53124300100230442
6114300023300541
710212232112431
oct1362117670655
9320237322247
10101221101997
1139a22745104
121774a8aa751
1397117b1ac2
144c832c49c1
152976542967
hex17913f71ad

101221101997 has 2 divisors, whose sum is σ = 101221101998. Its totient is φ = 101221101996.

The previous prime is 101221101979. The next prime is 101221102033. The reversal of 101221101997 is 799101122101.

Together with previous prime (101221101979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90200511556 + 11020590441 = 300334^2 + 104979^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221101997 - 27 = 101221101869 is a prime.

It is a super-2 number, since 2×1012211019972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221101937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610550998 + 50610550999.

It is an arithmetic number, because the mean of its divisors is an integer number (50610550999).

Almost surely, 2101221101997 is an apocalyptic number.

It is an amenable number.

101221101997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221101997 is an equidigital number, since it uses as much as digits as its factorization.

101221101997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 34.

The spelling of 101221101997 in words is "one hundred one billion, two hundred twenty-one million, one hundred one thousand, nine hundred ninety-seven".