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122010201001 = 1341997229601
BaseRepresentation
bin111000110100001011…
…1111110101110101001
3102122221002201101212101
41301220113332232221
53444334102413001
6132014542013401
711546345411503
oct1615027765651
9378832641771
10122010201001
1147820639967
121b790b77261
13b6757c3910
145c962d8d73
1532916d0a01
hex1c685feba9

122010201001 has 16 divisors (see below), whose sum is σ = 134735964048. Its totient is φ = 109767168000.

The previous prime is 122010200959. The next prime is 122010201011. The reversal of 122010201001 is 100102010221.

It can be written as a sum of positive squares in 8 ways, for example, as 409600 + 122009791401 = 640^2 + 349299^2 .

It is a de Polignac number, because none of the positive numbers 2k-122010201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122010201011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416601 + ... + 646201.

It is an arithmetic number, because the mean of its divisors is an integer number (8420997753).

Almost surely, 2122010201001 is an apocalyptic number.

It is an amenable number.

122010201001 is a deficient number, since it is larger than the sum of its proper divisors (12725763047).

122010201001 is a wasteful number, since it uses less digits than its factorization.

122010201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230652.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122010201001 its reverse (100102010221), we get a palindrome (222112211222).

The spelling of 122010201001 in words is "one hundred twenty-two billion, ten million, two hundred one thousand, one".

Divisors: 1 13 41 533 997 12961 40877 229601 531401 2984813 9413641 122377333 228912197 2975858561 9385400077 122010201001