Search a number
-
+
102101012111141 is a prime number
BaseRepresentation
bin10111001101110000111110…
…100011101101111100100101
3111101111202120002021021222022
4113031300332203231330211
5101340310333100024031
61001052320223512525
730335361155341211
oct2715607643557445
9441452502237868
10102101012111141
112a59488362914a
12b54ba3a458745
1344c8112aa7684
141b2da02d03941
15bc0d357ab97b
hex5cdc3e8edf25

102101012111141 has 2 divisors, whose sum is σ = 102101012111142. Its totient is φ = 102101012111140.

The previous prime is 102101012111069. The next prime is 102101012111143. The reversal of 102101012111141 is 141111210101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68297497492900 + 33803514618241 = 8264230^2 + 5814079^2 .

It is an emirp because it is prime and its reverse (141111210101201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102101012111141 is a prime.

It is a super-2 number, since 2×1021010121111412 (a number of 29 digits) contains 22 as substring.

Together with 102101012111143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101012111143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050506055570 + 51050506055571.

It is an arithmetic number, because the mean of its divisors is an integer number (51050506055571).

Almost surely, 2102101012111141 is an apocalyptic number.

It is an amenable number.

102101012111141 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101012111141 is an equidigital number, since it uses as much as digits as its factorization.

102101012111141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102101012111141 its reverse (141111210101201), we get a palindrome (243212222212342).

The spelling of 102101012111141 in words is "one hundred two trillion, one hundred one billion, twelve million, one hundred eleven thousand, one hundred forty-one".