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1221111010037 is a prime number
BaseRepresentation
bin10001110001001111111…
…000110101001011110101
311022201220022210112111002
4101301033320311023311
5130001313404310122
62332545354453045
7154136161220162
oct21611770651365
94281808715432
101221111010037
11430963370426
121787ab734185
138b1c51c9819
14431601b7069
1521b6d264992
hex11c4fe352f5

1221111010037 has 2 divisors, whose sum is σ = 1221111010038. Its totient is φ = 1221111010036.

The previous prime is 1221111009947. The next prime is 1221111010039. The reversal of 1221111010037 is 7300101111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1022021924401 + 199089085636 = 1010951^2 + 446194^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221111010037 is a prime.

It is a super-2 number, since 2×12211110100372 (a number of 25 digits) contains 22 as substring.

Together with 1221111010039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221111010039) 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 as a sum of consecutive naturals, namely, 610555505018 + 610555505019.

It is an arithmetic number, because the mean of its divisors is an integer number (610555505019).

Almost surely, 21221111010037 is an apocalyptic number.

It is an amenable number.

1221111010037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221111010037 is an equidigital number, since it uses as much as digits as its factorization.

1221111010037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 1221111010037 its reverse (7300101111221), we get a palindrome (8521212121258).

The spelling of 1221111010037 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, ten thousand, thirty-seven".