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221202321101093 is a prime number
BaseRepresentation
bin110010010010111010101101…
…110001011101000100100101
31002000012201212002100211022202
4302102322231301131010211
5212443134323200213333
62102242535441304245
764410224504150153
oct6222725561350445
91060181762324282
10221202321101093
1164533417590042
12209865a9935085
13965739b9b00c7
143c8a36c76c3d3
151a88ea779e5e8
hexc92eadc5d125

221202321101093 has 2 divisors, whose sum is σ = 221202321101094. Its totient is φ = 221202321101092.

The previous prime is 221202321101023. The next prime is 221202321101197. The reversal of 221202321101093 is 390101123202122.

221202321101093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218828647808164 + 2373673292929 = 14792858^2 + 1540673^2 .

It is a cyclic number.

It is not a de Polignac number, because 221202321101093 - 220 = 221202320052517 is a prime.

It is a super-2 number, since 2×2212023211010932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221202321101023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110601160550546 + 110601160550547.

It is an arithmetic number, because the mean of its divisors is an integer number (110601160550547).

Almost surely, 2221202321101093 is an apocalyptic number.

It is an amenable number.

221202321101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

221202321101093 is an equidigital number, since it uses as much as digits as its factorization.

221202321101093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 221202321101093 in words is "two hundred twenty-one trillion, two hundred two billion, three hundred twenty-one million, one hundred one thousand, ninety-three".