1122112101121 has 8 divisors (see below), whose sum is σ = 1224461709504. Its totient is φ = 1019819062320.

The previous prime is 1122112101101. The next prime is 1122112101211. The reversal of 1122112101121 is 1211012112211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1122112101121 - 2¹³ = 1122112092929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122112101095 and 1122112101104.

It is not an unprimeable number, because it can be changed into a prime (1122112101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14100910 + ... + 14180263.

It is an arithmetic number, because the mean of its divisors is an integer number (153057713688).

Almost surely, 2^{1122112101121} is an apocalyptic number.

1122112101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122112101121 is a deficient number, since it is larger than the sum of its proper divisors (102349608383).

1122112101121 is a wasteful number, since it uses less digits than its factorization.

1122112101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28284791.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 1122112101121 its reverse (1211012112211), we get a palindrome (2333124213332).

The spelling of 1122112101121 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".