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100101100100001 = 37111333333699667
BaseRepresentation
bin10110110000101010011010…
…100000110101100110100001
3111010102120102202222202000220
4112300222122200311212201
5101110024023111200001
6552521451024433253
730041031401621340
oct2660523240654641
9433376382882026
10100101100100001
1129993702415730
12b28831ba78829
1343b165483ca20
141aa0cc1dd9b57
15b88cd53aec36
hex5b0a9a8359a1

100101100100001 has 32 divisors (see below), whose sum is σ = 179201969415168. Its totient is φ = 48000527519040.

The previous prime is 100101100099967. The next prime is 100101100100009. The reversal of 100101100100001 is 100001001101001.

It is not a de Polignac number, because 100101100100001 - 210 = 100101100098977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101100100009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16666846831 + ... + 16666852836.

It is an arithmetic number, because the mean of its divisors is an integer number (5600061544224).

Almost surely, 2100101100100001 is an apocalyptic number.

100101100100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101100100001 is a deficient number, since it is larger than the sum of its proper divisors (79100869315167).

100101100100001 is a wasteful number, since it uses less digits than its factorization.

100101100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333699701.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100101100100001 its reverse (100001001101001), we get a palindrome (200102101201002).

It can be divided in two parts, 10010 and 1100100001, that added together give a palindrome (1100110011).

The spelling of 100101100100001 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 33333699667 100001099001 233335897669 366670696337 433338095671 700007693007 1100012089011 1300014287013 2566694874359 3033366669697 4766719052381 7700084623077 9100100009091 14300157157143 33367033366667 100101100100001