1106121555561 has 32 divisors (see below), whose sum is σ = 1613020032000. Its totient is φ = 668663916480.

The previous prime is 1106121555557. The next prime is 1106121555599. The reversal of 1106121555561 is 1655551216011.

It is not a de Polignac number, because 1106121555561 - 2² = 1106121555557 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1106121554561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20726490 + ... + 20779788.

It is an arithmetic number, because the mean of its divisors is an integer number (50406876000).

Almost surely, 2^{1106121555561} is an apocalyptic number.

1106121555561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1106121555561 is a deficient number, since it is larger than the sum of its proper divisors (506898476439).

1106121555561 is a wasteful number, since it uses less digits than its factorization.

1106121555561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54909.

The product of its (nonzero) digits is 45000, while the sum is 39.

The spelling of 1106121555561 in words is "one trillion, one hundred six billion, one hundred twenty-one million, five hundred fifty-five thousand, five hundred sixty-one".