1011102001101 has 16 divisors (see below), whose sum is σ = 1522485104320. Its totient is φ = 663017704560.

The previous prime is 1011102001061. The next prime is 1011102001123. The reversal of 1011102001101 is 1011002011101.

It is not a de Polignac number, because 1011102001101 - 2¹⁵ = 1011101968333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011102001141) 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, 306950995 + ... + 306954288.

It is an arithmetic number, because the mean of its divisors is an integer number (95155319020).

Almost surely, 2^{1011102001101} is an apocalyptic number.

It is an amenable number.

1011102001101 is a deficient number, since it is larger than the sum of its proper divisors (511383103219).

1011102001101 is an equidigital number, since it uses as much as digits as its factorization.

1011102001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613905353 (or 613905347 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011102001101 its reverse (1011002011101), we get a palindrome (2022104012202).

The spelling of 1011102001101 in words is "one trillion, eleven billion, one hundred two million, one thousand, one hundred one".