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1022121002201 = 13555891414393
BaseRepresentation
bin11101101111110110010…
…10001100010011011001
310121201021100222202202212
432313323022030103121
5113221300434032301
62101320024204505
7133563053111555
oct16677312142331
93551240882685
101022121002201
1136452a7282a2
12146116309735
1375502205960
14376842c4865
151b8c37e74bb
hexedfb28c4d9

1022121002201 has 8 divisors (see below), whose sum is σ = 1100766274440. Its totient is φ = 943478669952.

The previous prime is 1022121002159. The next prime is 1022121002251. The reversal of 1022121002201 is 1022001212201.

It can be written as a sum of positive squares in 4 ways, for example, as 238632250000 + 783488752201 = 488500^2 + 885149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1022121002201 - 214 = 1022120985817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022121002251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15461 + ... + 1429853.

It is an arithmetic number, because the mean of its divisors is an integer number (137595784305).

Almost surely, 21022121002201 is an apocalyptic number.

It is an amenable number.

1022121002201 is a deficient number, since it is larger than the sum of its proper divisors (78645272239).

1022121002201 is a wasteful number, since it uses less digits than its factorization.

1022121002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469995.

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

Adding to 1022121002201 its reverse (1022001212201), we get a palindrome (2044122214402).

The spelling of 1022121002201 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two thousand, two hundred one".

Divisors: 1 13 55589 722657 1414393 18387109 78624692477 1022121002201