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1000101101117 is a prime number
BaseRepresentation
bin11101000110110101010…
…10111011111000111101
310112121102202122220010212
432203122222323320331
5112341201340213432
62043235021242205
7132153303045326
oct16433252737075
93477382586125
101000101101117
1135615aaa9738
121419aba03365
13734032065a1
1436595a4344d
151b0355872b2
hexe8daabbe3d

1000101101117 has 2 divisors, whose sum is σ = 1000101101118. Its totient is φ = 1000101101116.

The previous prime is 1000101101081. The next prime is 1000101101161. The reversal of 1000101101117 is 7111011010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 521715845401 + 478385255716 = 722299^2 + 691654^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101101117 - 210 = 1000101100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000101101177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050550558 + 500050550559.

It is an arithmetic number, because the mean of its divisors is an integer number (500050550559).

Almost surely, 21000101101117 is an apocalyptic number.

It is an amenable number.

1000101101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101101117 is an equidigital number, since it uses as much as digits as its factorization.

1000101101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 1000101101117 its reverse (7111011010001), we get a palindrome (8111112111118).

The spelling of 1000101101117 in words is "one trillion, one hundred one million, one hundred one thousand, one hundred seventeen".