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10101100010001 = 3711133790909991
BaseRepresentation
bin1001001011111101100001…
…1110100101101000010001
31022202122201000201220010020
42102333120132211220101
52310444023100310001
633252214205054053
72061531450300120
oct222773036455021
938678630656106
1010101100010001
1132449416909a0
1211717b1b57329
135836b6820350
1426cc782d1ab7
15127b45a16736
hex92fd87a5a11

10101100010001 has 64 divisors (see below), whose sum is σ = 18571820445696. Its totient is φ = 4712773881600.

The previous prime is 10101100009981. The next prime is 10101100010041. The reversal of 10101100010001 is 10001000110101.

10101100010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101100010001 - 214 = 10101099993617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101100010041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45343885 + ... + 45566106.

It is an arithmetic number, because the mean of its divisors is an integer number (290184694464).

Almost surely, 210101100010001 is an apocalyptic number.

10101100010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101100010001 is a deficient number, since it is larger than the sum of its proper divisors (8470720435695).

10101100010001 is a wasteful number, since it uses less digits than its factorization.

10101100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90910062.

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

Adding to 10101100010001 its reverse (10001000110101), we get a palindrome (20102100120102).

It can be divided in two parts, 10101 and 100010001, that multiplied together give a palindrome (1010201020101).

The spelling of 10101100010001 in words is "ten trillion, one hundred one billion, one hundred million, ten thousand, one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 90909991 272729973 636369937 1000009901 1181829883 1909109811 3000029703 3363669667 3545489649 7000069307 8272809181 10091009001 13000128713 21000207921 23545687669 24818427543 37000366337 39000386139 43727705671 70637063007 91000900991 111001099011 131183117013 259002564359 273002702973 306093939697 481004762381 777007693077 918281819091 1443014287143 3367033336667 10101100010001