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10122200201021 is a prime number
BaseRepresentation
bin1001001101001100001000…
…1001011011011100111101
31022211200011112110122201112
42103103002021123130331
52311320231222413041
633310024035251405
72063206362044036
oct223230211333475
938750145418645
1010122200201021
11325288a145797
121175900449b65
1358569a11488c
1426dcba765a8d
1512847d154deb
hex934c225b73d

10122200201021 has 2 divisors, whose sum is σ = 10122200201022. Its totient is φ = 10122200201020.

The previous prime is 10122200200997. The next prime is 10122200201023. The reversal of 10122200201021 is 12010200222101.

10122200201021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9394923832996 + 727276368025 = 3065114^2 + 852805^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122200201021 - 238 = 9847322294077 is a prime.

Together with 10122200201023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122200200987 and 10122200201005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122200201023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061100100510 + 5061100100511.

It is an arithmetic number, because the mean of its divisors is an integer number (5061100100511).

Almost surely, 210122200201021 is an apocalyptic number.

It is an amenable number.

10122200201021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122200201021 is an equidigital number, since it uses as much as digits as its factorization.

10122200201021 is an evil number, because the sum of its binary digits is even.

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

Adding to 10122200201021 its reverse (12010200222101), we get a palindrome (22132400423122).

The spelling of 10122200201021 in words is "ten trillion, one hundred twenty-two billion, two hundred million, two hundred one thousand, twenty-one".