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101002011203221 is a prime number
BaseRepresentation
bin10110111101110001011100…
…111111111101011010010101
3111020121200211211011122220221
4112331301130333331122111
5101214304104332000341
6554451403340154341
730163103664633442
oct2675613477753225
9436550754148827
10101002011203221
112a200792230897
12b3b2a492389b1
1344485aacac25b
141ad27483cc9c9
15ba24628aced1
hex5bdc5cffd695

101002011203221 has 2 divisors, whose sum is σ = 101002011203222. Its totient is φ = 101002011203220.

The previous prime is 101002011203131. The next prime is 101002011203263. The reversal of 101002011203221 is 122302110200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58012824058225 + 42989187144996 = 7616615^2 + 6556614^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002011203221 - 29 = 101002011202709 is a prime.

It is a super-3 number, since 3×1010020112032213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002011203195 and 101002011203204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002011263221) 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 as a sum of consecutive naturals, namely, 50501005601610 + 50501005601611.

It is an arithmetic number, because the mean of its divisors is an integer number (50501005601611).

Almost surely, 2101002011203221 is an apocalyptic number.

It is an amenable number.

101002011203221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002011203221 is an equidigital number, since it uses as much as digits as its factorization.

101002011203221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101002011203221 its reverse (122302110200101), we get a palindrome (223304121403322).

The spelling of 101002011203221 in words is "one hundred one trillion, two billion, eleven million, two hundred three thousand, two hundred twenty-one".