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100100110100981 is a prime number
BaseRepresentation
bin10110110000101001011111…
…100000010010100111110101
3111010102110212210010120200112
4112300221133200102213311
5101110020011141212411
6552521204501352405
730040665021022664
oct2660513740224765
9433373783116615
10100100110100981
1129993244602821
12b2880a4408705
1343b15276c49a3
141aa0c2a732ddb
15b88c78506b8b
hex5b0a5f8129f5

100100110100981 has 2 divisors, whose sum is σ = 100100110100982. Its totient is φ = 100100110100980.

The previous prime is 100100110100873. The next prime is 100100110101023. The reversal of 100100110100981 is 189001011001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97406438080900 + 2693672020081 = 9869470^2 + 1641241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100100110100981 is a prime.

It is a super-2 number, since 2×1001001101009812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110109981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055050490 + 50050055050491.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055050491).

Almost surely, 2100100110100981 is an apocalyptic number.

It is an amenable number.

100100110100981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110100981 is an equidigital number, since it uses as much as digits as its factorization.

100100110100981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

Adding to 100100110100981 its reverse (189001011001001), we get a palindrome (289101121101982).

The spelling of 100100110100981 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred thousand, nine hundred eighty-one".