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21122001011197 is a prime number
BaseRepresentation
bin1001100110101110110010…
…10111100000000111111101
32202210020120120022102222001
410303113121113200013331
510232030324224324242
6112531151401422301
74310004606166132
oct463273127400775
982706516272861
1021122001011197
116803876a15409
12245170349a991
13ba2a471a6318
1453044b68a589
152696720b4eb7
hex1335d95e01fd

21122001011197 has 2 divisors, whose sum is σ = 21122001011198. Its totient is φ = 21122001011196.

The previous prime is 21122001011099. The next prime is 21122001011233. The reversal of 21122001011197 is 79111010022112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20805694878276 + 316306132921 = 4561326^2 + 562411^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21122001011197 is a prime.

It is a super-2 number, since 2×211220010111972 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122001011297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561000505598 + 10561000505599.

It is an arithmetic number, because the mean of its divisors is an integer number (10561000505599).

Almost surely, 221122001011197 is an apocalyptic number.

It is an amenable number.

21122001011197 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122001011197 is an equidigital number, since it uses as much as digits as its factorization.

21122001011197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 28.

The spelling of 21122001011197 in words is "twenty-one trillion, one hundred twenty-two billion, one million, eleven thousand, one hundred ninety-seven".