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122211022102021 is a prime number
BaseRepresentation
bin11011110010011001111000…
…100011110101111000000101
3121000201021000020221100220201
4123302121320203311320011
5112004301133124231041
61111530545105530501
734512312025024366
oct3362317043657005
9530637006840821
10122211022102021
1135a38448a3a616
1211859394043a31
1353265b0675968
14222708b7c5b6d
15e1dec8560631
hex6f26788f5e05

122211022102021 has 2 divisors, whose sum is σ = 122211022102022. Its totient is φ = 122211022102020.

The previous prime is 122211022102009. The next prime is 122211022102033. The reversal of 122211022102021 is 120201220112221.

It is a balanced prime because it is at equal distance from previous prime (122211022102009) and next prime (122211022102033).

It can be written as a sum of positive squares in only one way, i.e., 89225688024225 + 32985334077796 = 9445935^2 + 5743286^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211022102021 - 27 = 122211022101893 is a prime.

It is a super-2 number, since 2×1222110221020212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122211022102021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122211022102121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105511051010 + 61105511051011.

It is an arithmetic number, because the mean of its divisors is an integer number (61105511051011).

Almost surely, 2122211022102021 is an apocalyptic number.

It is an amenable number.

122211022102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211022102021 is an equidigital number, since it uses as much as digits as its factorization.

122211022102021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122211022102021 its reverse (120201220112221), we get a palindrome (242412242214242).

The spelling of 122211022102021 in words is "one hundred twenty-two trillion, two hundred eleven billion, twenty-two million, one hundred two thousand, twenty-one".