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122112003101 = 1111101091191
BaseRepresentation
bin111000110111001110…
…0010100110000011101
3102200012012021111002112
41301232130110300131
54000041133044401
6132033020003405
711552022620564
oct1615634246035
9380165244075
10122112003101
1147873051330
121b7bb090565
13b69091874a
145ca5a38bdb
15329a5de3bb
hex1c6e714c1d

122112003101 has 4 divisors (see below), whose sum is σ = 133213094304. Its totient is φ = 111010911900.

The previous prime is 122112003077. The next prime is 122112003107. The reversal of 122112003101 is 101300211221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112003101 is a prime.

It is a super-2 number, since 2×1221120031012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112003107) 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 in 3 ways as a sum of consecutive naturals, for example, 5550545585 + ... + 5550545606.

It is an arithmetic number, because the mean of its divisors is an integer number (33303273576).

Almost surely, 2122112003101 is an apocalyptic number.

122112003101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112003101 is a deficient number, since it is larger than the sum of its proper divisors (11101091203).

122112003101 is a wasteful number, since it uses less digits than its factorization.

122112003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101091202.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122112003101 its reverse (101300211221), we get a palindrome (223412214322).

The spelling of 122112003101 in words is "one hundred twenty-two billion, one hundred twelve million, three thousand, one hundred one".

Divisors: 1 11 11101091191 122112003101