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10020101201 = 11311391791181
BaseRepresentation
bin10010101010011111…
…01001110001010001
3221212022120212210022
421111033221301101
5131010121214301
64334141313225
7503210312015
oct112517516121
927768525708
1010020101201
1142820a4380
121b37865815
13c38c07986
146b0ab6545
153d9a2dd1b
hex2553e9c51

10020101201 has 32 divisors (see below), whose sum is σ = 11437977600. Its totient is φ = 8695656000.

The previous prime is 10020101177. The next prime is 10020101207. The reversal of 10020101201 is 10210102001.

10020101201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10020101201 - 210 = 10020100177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020101207) 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 31 ways as a sum of consecutive naturals, for example, 8483831 + ... + 8485011.

It is an arithmetic number, because the mean of its divisors is an integer number (357436800).

Almost surely, 210020101201 is an apocalyptic number.

10020101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020101201 is a deficient number, since it is larger than the sum of its proper divisors (1417876399).

10020101201 is a wasteful number, since it uses less digits than its factorization.

10020101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10020101201 its reverse (10210102001), we get a palindrome (20230203202).

The spelling of 10020101201 in words is "ten billion, twenty million, one hundred one thousand, two hundred one".

Divisors: 1 11 31 139 179 341 1181 1529 1969 4309 5549 12991 24881 36611 47399 61039 164159 211399 273691 402721 771311 1805749 2325389 5088929 6553369 8484421 29384461 55978219 72087059 323229071 910918291 10020101201