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101000100000001 = 1312960472604293
BaseRepresentation
bin10110111101101111101011…
…000101010011000100000001
3111020121111220121220110222111
4112331233223011103010001
5101214241201100000001
6554450445544335321
730163005426653416
oct2675575305230401
9436544817813874
10101000100000001
112a1aa9a14235a4
12b3b25b5174541
134448365055287
141ad260664a10d
15ba239ebda851
hex5bdbeb153101

101000100000001 has 8 divisors (see below), whose sum is σ = 101771475974784. Its totient is φ = 100228729826160.

The previous prime is 101000099999989. The next prime is 101000100000061. The reversal of 101000100000001 is 100000001000101.

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 101000100000001 - 217 = 101000099868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000100000061) 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, 37480011 + ... + 40084303.

It is an arithmetic number, because the mean of its divisors is an integer number (12721434496848).

Almost surely, 2101000100000001 is an apocalyptic number.

It is an amenable number.

101000100000001 is a deficient number, since it is larger than the sum of its proper divisors (771375974783).

101000100000001 is a wasteful number, since it uses less digits than its factorization.

101000100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900471.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000100000001 its reverse (100000001000101), we get a palindrome (201000101000102).

It can be divided in two parts, 101000 and 100000001, that added together give a palindrome (100101001).

The spelling of 101000100000001 in words is "one hundred one trillion, one hundred million, one", and thus it is an aban number.

Divisors: 1 131 296047 2604293 38782157 341162383 770993129771 101000100000001