1100122112101 has 4 divisors (see below), whose sum is σ = 1102950189900. Its totient is φ = 1097294034304.

The previous prime is 1100122112083. The next prime is 1100122112107. The reversal of 1100122112101 is 1012112210011.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 659345624001 + 440776488100 = 812001^2 + 663910^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100122112101 - 2⁷ = 1100122111973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100122112107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1414038316 + ... + 1414039093.

It is an arithmetic number, because the mean of its divisors is an integer number (275737547475).

Almost surely, 2^{1100122112101} is an apocalyptic number.

It is an amenable number.

1100122112101 is a deficient number, since it is larger than the sum of its proper divisors (2828077799).

1100122112101 is an equidigital number, since it uses as much as digits as its factorization.

1100122112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828077798.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1100122112101 its reverse (1012112210011), we get a palindrome (2112234322112).

The spelling of 1100122112101 in words is "one trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".