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101022222193 is a prime number
BaseRepresentation
bin101111000010101100…
…1001100011101110001
3100122202102010121110221
41132011121030131301
53123343142102233
6114224200453041
710204265502064
oct1360531143561
9318672117427
10101022222193
1139930457832
12176b417a181
1396ac52a649
144c64b148db
152963d5a42d
hex178564c771

101022222193 has 2 divisors, whose sum is σ = 101022222194. Its totient is φ = 101022222192.

The previous prime is 101022222163. The next prime is 101022222241. The reversal of 101022222193 is 391222220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100459204209 + 563017984 = 316953^2 + 23728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101022222193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022222143) 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 as a sum of consecutive naturals, namely, 50511111096 + 50511111097.

It is an arithmetic number, because the mean of its divisors is an integer number (50511111097).

Almost surely, 2101022222193 is an apocalyptic number.

It is an amenable number.

101022222193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022222193 is an equidigital number, since it uses as much as digits as its factorization.

101022222193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 101022222193 its reverse (391222220101), we get a palindrome (492244442294).

The spelling of 101022222193 in words is "one hundred one billion, twenty-two million, two hundred twenty-two thousand, one hundred ninety-three".