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100110122112001 = 1134491973118673
BaseRepresentation
bin10110110000110010110100…
…010001000101010000000001
3111010110102201112111102211111
4112300302310101011100001
5101110201012230041001
6552525542153443321
730041501102511331
oct2660626421052001
9433412645442744
10100110122112001
11299975120808a1
12b28a019410541
1343b2461a29171
141aa14da3010c1
15b89162488851
hex5b0cb4445401

100110122112001 has 8 divisors (see below), whose sum is σ = 101220987976200. Its totient is φ = 99003202486272.

The previous prime is 100110122111957. The next prime is 100110122112043. The reversal of 100110122112001 is 100211221011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1640243718400 + 98469878393601 = 1280720^2 + 9923199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110122112001 - 229 = 100109585241089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110122112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986508600 + ... + 986610073.

It is an arithmetic number, because the mean of its divisors is an integer number (12652623497025).

Almost surely, 2100110122112001 is an apocalyptic number.

It is an amenable number.

100110122112001 is a deficient number, since it is larger than the sum of its proper divisors (1110865864199).

100110122112001 is a wasteful number, since it uses less digits than its factorization.

100110122112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973119235.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100110122112001 its reverse (100211221011001), we get a palindrome (200321343123002).

The spelling of 100110122112001 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, one".

Divisors: 1 113 449 50737 1973118673 222962410049 885930284177 100110122112001