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10221202221201 = 324572485096577
BaseRepresentation
bin1001010010111100111100…
…1000001010100010010001
31100012010201011020101000200
42110233033020022202101
52314431010232034301
633423315552205413
72103312630244266
oct224571710124221
940163634211020
1010221202221201
113290873207884
121190b2bb39869
13591b16c437ca
142749cd04326d
1512ad2495bc86
hex94bcf20a891

10221202221201 has 12 divisors (see below), whose sum is σ = 14796265025412. Its totient is φ = 6799224231936.

The previous prime is 10221202221199. The next prime is 10221202221221. The reversal of 10221202221201 is 10212220212201.

It is a happy number.

10221202221201 is a `hidden beast` number, since 1 + 0 + 221 + 20 + 2 + 221 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7682453932176 + 2538748289025 = 2771724^2 + 1593345^2 .

It is not a de Polignac number, because 10221202221201 - 21 = 10221202221199 is a prime.

It is a super-2 number, since 2×102212022212012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221202221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242544176 + ... + 1242552401.

It is an arithmetic number, because the mean of its divisors is an integer number (1233022085451).

Almost surely, 210221202221201 is an apocalyptic number.

It is an amenable number.

10221202221201 is a deficient number, since it is larger than the sum of its proper divisors (4575062804211).

10221202221201 is a wasteful number, since it uses less digits than its factorization.

10221202221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485097040 (or 2485097037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221202221201 its reverse (10212220212201), we get a palindrome (20433422433402).

The spelling of 10221202221201 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 457 1371 4113 2485096577 7455289731 22365869193 1135689135689 3407067407067 10221202221201