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101001000100001 = 1131275297008713
BaseRepresentation
bin10110111101110000100000…
…101110111010000010100001
3111020121121020100121022001112
4112331300200232322002201
5101214300022011200001
6554451115140513105
730163036636456601
oct2675604056720241
9436547210538045
10101001000100001
112a200313513aa1
12b3b28066ab795
134448479685321
141ad268ddd0c01
15ba2403c36cbb
hex5bdc20bba0a1

101001000100001 has 8 divisors (see below), whose sum is σ = 101895627791880. Its totient is φ = 100106386680832.

The previous prime is 101001000099997. The next prime is 101001000100019. The reversal of 101001000100001 is 100001000100101.

It can be written as a sum of positive squares in 4 ways, for example, as 8845128053776 + 92155872046225 = 2974076^2 + 9599785^2 .

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

It is not a de Polignac number, because 101001000100001 - 22 = 101001000099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001050100001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10906421 + ... + 17915133.

It is an arithmetic number, because the mean of its divisors is an integer number (12736953473985).

Almost surely, 2101001000100001 is an apocalyptic number.

It is an amenable number.

101001000100001 is a deficient number, since it is larger than the sum of its proper divisors (894627691879).

101001000100001 is a wasteful number, since it uses less digits than its factorization.

101001000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136355.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101001000100001 its reverse (100001000100101), we get a palindrome (201002000200102).

The spelling of 101001000100001 in words is "one hundred one trillion, one billion, one hundred thousand, one".

Divisors: 1 113 127529 7008713 14410777 791984569 893814160177 101001000100001