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1021122200001 = 343103237132413
BaseRepresentation
bin11101101101111111010…
…00000100000111000001
310121121200202120100201210
432312333220010013001
5113212224240400001
62101032544320333
7133526234330031
oct16667750040701
93547622510653
101021122200001
11364067952432
12145a979130a9
13753a32c7a37
14375cb7a98c1
151b865ca0dd6
hexedbfa041c1

1021122200001 has 32 divisors (see below), whose sum is σ = 1407321490432. Its totient is φ = 658163257920.

The previous prime is 1021122199973. The next prime is 1021122200011. The reversal of 1021122200001 is 1000022211201.

1021122200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1021122200001 - 25 = 1021122199969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021122200001.

It is not an unprimeable number, because it can be changed into a prime (1021122200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31487271 + ... + 31519683.

It is an arithmetic number, because the mean of its divisors is an integer number (43978796576).

Almost surely, 21021122200001 is an apocalyptic number.

It is an amenable number.

1021122200001 is a deficient number, since it is larger than the sum of its proper divisors (386199290431).

1021122200001 is a wasteful number, since it uses less digits than its factorization.

1021122200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34933.

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

Adding to 1021122200001 its reverse (1000022211201), we get a palindrome (2021144411202).

The spelling of 1021122200001 in words is "one trillion, twenty-one billion, one hundred twenty-two million, two hundred thousand, one".

Divisors: 1 3 43 103 129 309 2371 4429 7113 13287 32413 97239 101953 244213 305859 732639 1393759 3338539 4181277 10015617 10501159 31503477 76851223 143557177 230553669 430671531 3304602589 7915675969 9913807767 23747027907 340374066667 1021122200001