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1100022110121 = 311101330039637
BaseRepresentation
bin10000000000011110011…
…011010101011110101001
310220011100102200002010010
4100000132123111132221
5121010321130010441
62201202043242133
7142321400442354
oct20003633253651
93804312602103
101100022110121
11394575892720
12159237219349
137c968549c9c
143b3543c129b
151d9328bc116
hex1001e6d57a9

1100022110121 has 16 divisors (see below), whose sum is σ = 1615874067648. Its totient is φ = 660079272000.

The previous prime is 1100022110119. The next prime is 1100022110123. The reversal of 1100022110121 is 1210112200011.

It is an interprime number because it is at equal distance from previous prime (1100022110119) and next prime (1100022110123).

It is not a de Polignac number, because 1100022110121 - 21 = 1100022110119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100022110097 and 1100022110106.

It is not an unprimeable number, because it can be changed into a prime (1100022110123) 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 15 ways as a sum of consecutive naturals, for example, 165016486 + ... + 165023151.

It is an arithmetic number, because the mean of its divisors is an integer number (100992129228).

Almost surely, 21100022110121 is an apocalyptic number.

1100022110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100022110121 is a deficient number, since it is larger than the sum of its proper divisors (515851957527).

1100022110121 is a wasteful number, since it uses less digits than its factorization.

1100022110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330039752.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100022110121 its reverse (1210112200011), we get a palindrome (2310134310132).

The spelling of 1100022110121 in words is "one trillion, one hundred billion, twenty-two million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 330039637 990118911 3630436007 10891308021 33334003337 100002010011 366674036707 1100022110121