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21122011101021 = 3367673280110177
BaseRepresentation
bin1001100110101110110011…
…11101111111011101011101
32202210020121021022001121020
410303113121331333131131
510232030334320213041
6112531152401554353
74310005061021415
oct463273175773535
982706537261536
1021122011101021
116803881687006
1224517069459b9
13ba2a492c9a2c
1453044cb55645
15269672e09866
hex1335d9f7f75d

21122011101021 has 32 divisors (see below), whose sum is σ = 28294256352768. Its totient is φ = 14015722291200.

The previous prime is 21122011100999. The next prime is 21122011101091. The reversal of 21122011101021 is 12010111022112.

It is a happy number.

It is not a de Polignac number, because 21122011101021 - 210 = 21122011099997 is a prime.

It is a super-2 number, since 2×211220111010212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122011101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2075460285 + ... + 2075470461.

It is an arithmetic number, because the mean of its divisors is an integer number (884195511024).

Almost surely, 221122011101021 is an apocalyptic number.

It is an amenable number.

21122011101021 is a deficient number, since it is larger than the sum of its proper divisors (7172245251747).

21122011101021 is a wasteful number, since it uses less digits than its factorization.

21122011101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21122011101021 its reverse (12010111022112), we get a palindrome (33132122123133).

The spelling of 21122011101021 in words is "twenty-one trillion, one hundred twenty-two billion, eleven million, one hundred one thousand, twenty-one".

Divisors: 1 3 367 673 1101 2019 2801 8403 10177 30531 246991 740973 1027967 1885073 3083901 3734959 5655219 6849121 11204877 20547363 28505777 85517331 691821791 2075465373 2513627407 7540882221 10461620159 19184387921 31384860477 57553163763 7040670367007 21122011101021