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1000121202201 = 311217676123971
BaseRepresentation
bin11101000110110111101…
…11100111011000011001
310112121111011111010122110
432203123313213120121
5112341222011432301
62043241020142533
7132153635645142
oct16433367473031
93477434433573
101000121202201
11356170388a00
121419b6697a49
1373407423a14
1436598596ac9
151b0372080d6
hexe8dbde7619

1000121202201 has 48 divisors (see below), whose sum is σ = 1552256806464. Its totient is φ = 570370944000.

The previous prime is 1000121202181. The next prime is 1000121202233. The reversal of 1000121202201 is 1022021210001.

It is not a de Polignac number, because 1000121202201 - 25 = 1000121202169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000121202281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41710146 + ... + 41734116.

It is an arithmetic number, because the mean of its divisors is an integer number (32338683468).

Almost surely, 21000121202201 is an apocalyptic number.

1000121202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000121202201 is a deficient number, since it is larger than the sum of its proper divisors (552135604263).

1000121202201 is a wasteful number, since it uses less digits than its factorization.

1000121202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30774 (or 30763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000121202201 its reverse (1022021210001), we get a palindrome (2022142412202).

The spelling of 1000121202201 in words is "one trillion, one hundred twenty-one million, two hundred two thousand, two hundred one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 6761 20283 23971 71913 74371 114937 223113 263681 344811 407507 791043 818081 1222521 1264307 2454243 2900491 3792921 4482577 8701473 13447731 13907377 41722131 49308347 147925041 162067931 486203793 1782747241 2755154827 5348241723 8265464481 19610219651 30306703097 58830658953 90920109291 333373734067 1000121202201