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201222012101121 = 3211532723583331
BaseRepresentation
bin101101110000001010100110…
…100011010110001000000001
3222101110122011222222202122100
4231300022212203112020001
5202333310140044213441
61551544041033501013
760245545020636504
oct5560124643261001
9871418158882570
10201222012101121
115912a859a90850
121a69a210871769
13883820107489b
1437992a975d13b
15183e3a6498cb6
hexb702a68d6201

201222012101121 has 36 divisors (see below), whose sum is σ = 323172576404496. Its totient is φ = 119651739448800.

The previous prime is 201222012101119. The next prime is 201222012101147. The reversal of 201222012101121 is 121101210222102.

201222012101121 is a `hidden beast` number, since 20 + 122 + 201 + 210 + 112 + 1 = 666.

It is not a de Polignac number, because 201222012101121 - 21 = 201222012101119 is a prime.

It is a super-2 number, since 2×2012220121011212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201222012101094 and 201222012101103.

It is not an unprimeable number, because it can be changed into a prime (201222012108121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361513575 + ... + 362069756.

It is an arithmetic number, because the mean of its divisors is an integer number (8977016011236).

Almost surely, 2201222012101121 is an apocalyptic number.

It is an amenable number.

201222012101121 is a deficient number, since it is larger than the sum of its proper divisors (121950564303375).

201222012101121 is a wasteful number, since it uses less digits than its factorization.

201222012101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723583454 (or 723583398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201222012101121 its reverse (121101210222102), we get a palindrome (322323222323223).

The spelling of 201222012101121 in words is "two hundred one trillion, two hundred twenty-two billion, twelve million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 2809 5247 8427 25281 30899 92697 278091 723583331 2170749993 6512249979 7959416641 23878249923 38349916543 71634749769 115049749629 345149248887 421849081973 1265547245919 2032545576779 3796641737757 6097636730337 18292910191011 22358001344569 67074004033707 201222012101121