Search a number
-
+
101201120102021 is a prime number
BaseRepresentation
bin10111000000101010111000…
…110100001000011010000101
3111021022201210001200201101012
4113000222320310020122011
5101231034343221231041
6555123052555012005
730213353045433662
oct2700527064103205
9437281701621335
10101201120102021
112a278176a98515
12b42555643a005
1344612bc7cc2c4
141adc235dcca69
15ba77179b23eb
hex5c0ab8d08685

101201120102021 has 2 divisors, whose sum is σ = 101201120102022. Its totient is φ = 101201120102020.

The previous prime is 101201120101987. The next prime is 101201120102023. The reversal of 101201120102021 is 120201021102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97832375550625 + 3368744551396 = 9891025^2 + 1835414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101201120102021 is a prime.

Together with 101201120102023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201120101987 and 101201120102005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201120102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600560051010 + 50600560051011.

It is an arithmetic number, because the mean of its divisors is an integer number (50600560051011).

Almost surely, 2101201120102021 is an apocalyptic number.

It is an amenable number.

101201120102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201120102021 is an equidigital number, since it uses as much as digits as its factorization.

101201120102021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201120102021 its reverse (120201021102101), we get a palindrome (221402141204122).

The spelling of 101201120102021 in words is "one hundred one trillion, two hundred one billion, one hundred twenty million, one hundred two thousand, twenty-one".