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102201338101 is a prime number
BaseRepresentation
bin101111100101110101…
…1001010100011110101
3100202210120211220102111
41133023223022203311
53133302020304401
6114541201211021
710245434016562
oct1371353124365
9322716756374
10102201338101
113a385a99a95
1217983030a71
1398398bc175
144d37569869
1529d261ce51
hex17cbaca8f5

102201338101 has 2 divisors, whose sum is σ = 102201338102. Its totient is φ = 102201338100.

The previous prime is 102201338081. The next prime is 102201338147. The reversal of 102201338101 is 101833102201.

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., 97078357476 + 5122980625 = 311574^2 + 71575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102201338101 is a prime.

It is a super-2 number, since 2×1022013381012 (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 (102201339101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100669050 + 51100669051.

It is an arithmetic number, because the mean of its divisors is an integer number (51100669051).

Almost surely, 2102201338101 is an apocalyptic number.

It is an amenable number.

102201338101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201338101 is an equidigital number, since it uses as much as digits as its factorization.

102201338101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 102201338101 in words is "one hundred two billion, two hundred one million, three hundred thirty-eight thousand, one hundred one".