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10221022121211 = 3211241428392729
BaseRepresentation
bin1001010010111100010001…
…1001001000110011111011
31100012010020121100100021200
42110233010121020303323
52314430123130334321
633423250040105243
72103305312361366
oct224570431106373
940163217310250
1010221022121211
113290790587010
121190a9b765223
13591ab8836275
142749b31610dd
1512ad13c33d26
hex94bc4648cfb

10221022121211 has 24 divisors (see below), whose sum is σ = 16172682342960. Its totient is φ = 6168855283200.

The previous prime is 10221022121209. The next prime is 10221022121221. The reversal of 10221022121211 is 11212122012201.

10221022121211 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 221 + 21 + 211 = 666.

10221022121211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221022121211 - 21 = 10221022121209 is a prime.

It is a super-2 number, since 2×102210221212112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221022121201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214172506 + ... + 214220223.

It is an arithmetic number, because the mean of its divisors is an integer number (673861764290).

Almost surely, 210221022121211 is an apocalyptic number.

10221022121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221022121211 is a deficient number, since it is larger than the sum of its proper divisors (5951660221749).

10221022121211 is a wasteful number, since it uses less digits than its factorization.

10221022121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428392987 (or 428392984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221022121211 its reverse (11212122012201), we get a palindrome (21433144133412).

The spelling of 10221022121211 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 241 723 2169 2651 7953 23859 428392729 1285178187 3855534561 4712320019 14136960057 42410880171 103242647689 309727943067 929183829201 1135669124579 3407007373737 10221022121211