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10221002119921 is a prime number
BaseRepresentation
bin1001010010111100001100…
…1100110101101011110001
31100012010012012201011200011
42110233003030311223301
52314430103020314141
633423244043254521
72103304650355525
oct224570314655361
940163165634604
1010221002119921
11329078026581a
121190a94b1a441
13591ab4652398
142749b0635d85
1512ad120d2881
hex94bc3335af1

10221002119921 has 2 divisors, whose sum is σ = 10221002119922. Its totient is φ = 10221002119920.

The previous prime is 10221002119903. The next prime is 10221002120027. The reversal of 10221002119921 is 12991120012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6229941120225 + 3991060999696 = 2495985^2 + 1997764^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221002119921 - 219 = 10221001595633 is a prime.

It is a super-3 number, since 3×102210021199213 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10221002119121) 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, 5110501059960 + 5110501059961.

It is an arithmetic number, because the mean of its divisors is an integer number (5110501059961).

Almost surely, 210221002119921 is an apocalyptic number.

It is an amenable number.

10221002119921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221002119921 is an equidigital number, since it uses as much as digits as its factorization.

10221002119921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 10221002119921 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred nineteen thousand, nine hundred twenty-one".