Search a number
-
+
101011002210997 is a prime number
BaseRepresentation
bin10110111101111001110100…
…111001111011101010110101
3111020122120001102100011220221
4112331321310321323222311
5101214431013031222442
6554455451440454341
730163542541143214
oct2675716471735265
9436576042304827
10101011002210997
112a20458644002a
12b3b473831a3b1
1344493b19315b8
141ad2d5c54307b
15ba27dbdb0467
hex5bde74e7bab5

101011002210997 has 2 divisors, whose sum is σ = 101011002210998. Its totient is φ = 101011002210996.

The previous prime is 101011002210977. The next prime is 101011002211127. The reversal of 101011002210997 is 799012200110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93355963843921 + 7655038367076 = 9662089^2 + 2766774^2 .

It is an emirp because it is prime and its reverse (799012200110101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101011002210997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011002210977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505501105498 + 50505501105499.

It is an arithmetic number, because the mean of its divisors is an integer number (50505501105499).

Almost surely, 2101011002210997 is an apocalyptic number.

It is an amenable number.

101011002210997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011002210997 is an equidigital number, since it uses as much as digits as its factorization.

101011002210997 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101011002210997 in words is "one hundred one trillion, eleven billion, two million, two hundred ten thousand, nine hundred ninety-seven".