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201012022200101 = 7215726129211257
BaseRepresentation
bin101101101101000111000010…
…001011011100011100100101
3222100201120011102221112012212
4231231013002023130130211
5202321340110140400401
61551303352001253205
760224432204141600
oct5555070213343445
9870646142845185
10201012022200101
11590597a1183102
121a665587634205
138821477192b98
14378d0689c7337
151838bb5eaddbb
hexb6d1c22dc725

201012022200101 has 12 divisors (see below), whose sum is σ = 235319676589548. Its totient is φ = 171198592149312.

The previous prime is 201012022200097. The next prime is 201012022200133. The reversal of 201012022200101 is 101002220210102.

201012022200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40552824972100 + 160459197228001 = 6368110^2 + 12667249^2 .

It is not a de Polignac number, because 201012022200101 - 22 = 201012022200097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012022200701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13064597936 + ... + 13064613321.

It is an arithmetic number, because the mean of its divisors is an integer number (19609973049129).

Almost surely, 2201012022200101 is an apocalyptic number.

It is an amenable number.

201012022200101 is a deficient number, since it is larger than the sum of its proper divisors (34307654389447).

201012022200101 is a wasteful number, since it uses less digits than its factorization.

201012022200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26129211428 (or 26129211421 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201012022200101 its reverse (101002220210102), we get a palindrome (302014242410203).

The spelling of 201012022200101 in words is "two hundred one trillion, twelve billion, twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 7 49 157 1099 7693 26129211257 182904478799 1280331351593 4102286167349 28716003171443 201012022200101