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1012233121121 is a prime number
BaseRepresentation
bin11101011101011011100…
…10111010110101100001
310120202202021012100220002
432232231302322311201
5113041023134333441
62053002524425345
7133063036365125
oct16565562726541
93522667170802
101012233121121
11360316231952
121442169a8255
13745b7813151
1436dc6dc9585
151b4e56d4b9b
hexebadcbad61

1012233121121 has 2 divisors, whose sum is σ = 1012233121122. Its totient is φ = 1012233121120.

The previous prime is 1012233121117. The next prime is 1012233121153. The reversal of 1012233121121 is 1211213322101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999378096721 + 12855024400 = 999689^2 + 113380^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012233121121 - 22 = 1012233121117 is a prime.

It is a super-2 number, since 2×10122331211212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012233121093 and 1012233121102.

It is not a weakly prime, because it can be changed into another prime (1012233121171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506116560560 + 506116560561.

It is an arithmetic number, because the mean of its divisors is an integer number (506116560561).

Almost surely, 21012233121121 is an apocalyptic number.

It is an amenable number.

1012233121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012233121121 is an equidigital number, since it uses as much as digits as its factorization.

1012233121121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1012233121121 its reverse (1211213322101), we get a palindrome (2223446443222).

The spelling of 1012233121121 in words is "one trillion, twelve billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty-one".