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101122111031 is a prime number
BaseRepresentation
bin101111000101101011…
…0001111011000110111
3100200000101002111012112
41132023112033120313
53124044230023111
6114242125441235
710206620522144
oct1361326173067
9320011074175
10101122111031
1139981882797
121772171021b
1396c7132676
144c740b73cb
15296c9dbe8b
hex178b58f637

101122111031 has 2 divisors, whose sum is σ = 101122111032. Its totient is φ = 101122111030.

The previous prime is 101122110997. The next prime is 101122111037. The reversal of 101122111031 is 130111221101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101122111031 is a prime.

It is a super-2 number, since 2×1011221110312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122110997 and 101122111015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122111037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561055515 + 50561055516.

It is an arithmetic number, because the mean of its divisors is an integer number (50561055516).

Almost surely, 2101122111031 is an apocalyptic number.

101122111031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122111031 is an equidigital number, since it uses as much as digits as its factorization.

101122111031 is an evil number, because the sum of its binary digits is even.

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

Adding to 101122111031 its reverse (130111221101), we get a palindrome (231233332132).

The spelling of 101122111031 in words is "one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, thirty-one".