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1010012111231 is a prime number
BaseRepresentation
bin11101011001010010110…
…10011100000101111111
310120120000110222101002112
432230221122130011333
5113022001100024411
62051554304444235
7132654020202464
oct16545132340577
93516013871075
101010012111231
1135a386562292
121438b701967b
1374322636806
1436c5603d66b
151b415717b8b
hexeb2969c17f

1010012111231 has 2 divisors, whose sum is σ = 1010012111232. Its totient is φ = 1010012111230.

The previous prime is 1010012111221. The next prime is 1010012111233. The reversal of 1010012111231 is 1321112100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1010012111231 - 230 = 1008938369407 is a prime.

It is a super-3 number, since 3×10100121112313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1010012111233, 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 (1010012111233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505006055615 + 505006055616.

It is an arithmetic number, because the mean of its divisors is an integer number (505006055616).

Almost surely, 21010012111231 is an apocalyptic number.

1010012111231 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010012111231 is an equidigital number, since it uses as much as digits as its factorization.

1010012111231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1010012111231 its reverse (1321112100101), we get a palindrome (2331124211332).

The spelling of 1010012111231 in words is "one trillion, ten billion, twelve million, one hundred eleven thousand, two hundred thirty-one".