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101012122220003 is a prime number
BaseRepresentation
bin10110111101111010110111…
…101010011011010111100011
3111020122122221110211112102222
4112331322313222123113203
5101214440311242020003
6554500154530301255
730163612361103461
oct2675726752332743
9436578843745388
10101012122220003
112a205000681405
12b3b49ab42782b
13444952c999817
141ad30271ad831
15ba2855399c38
hex5bdeb7a9b5e3

101012122220003 has 2 divisors, whose sum is σ = 101012122220004. Its totient is φ = 101012122220002.

The previous prime is 101012122219963. The next prime is 101012122220039. The reversal of 101012122220003 is 300022221210101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101012122220003 - 228 = 101011853784547 is a prime.

It is a super-2 number, since 2×1010121222200032 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012022220003) 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, 50506061110001 + 50506061110002.

It is an arithmetic number, because the mean of its divisors is an integer number (50506061110002).

Almost surely, 2101012122220003 is an apocalyptic number.

101012122220003 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012122220003 is an equidigital number, since it uses as much as digits as its factorization.

101012122220003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101012122220003 its reverse (300022221210101), we get a palindrome (401034343430104).

The spelling of 101012122220003 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred twenty thousand, three".