1100101009991 has 16 divisors (see below), whose sum is σ = 1131319451136. Its totient is φ = 1069093080000.

The previous prime is 1100101009879. The next prime is 1100101009993. The reversal of 1100101009991 is 1999001010011.

It is a cyclic number.

It is not a de Polignac number, because 1100101009991 - 2¹⁸ = 1100100747847 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 (1100101009993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101004656 + ... + 101015546.

It is an arithmetic number, because the mean of its divisors is an integer number (70707465696).

Almost surely, 2^{1100101009991} is an apocalyptic number.

1100101009991 is a deficient number, since it is larger than the sum of its proper divisors (31218441145).

1100101009991 is a wasteful number, since it uses less digits than its factorization.

1100101009991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20294.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 1100101009991 in words is "one trillion, one hundred billion, one hundred one million, nine thousand, nine hundred ninety-one".