1100102111010 has 96 divisors (see below), whose sum is σ = 3412561691520. Its totient is φ = 251451908064.

The previous prime is 1100102110993. The next prime is 1100102111023. The reversal of 1100102111010 is 101112010011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100102110983 and 1100102111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41562814 + ... + 41589273.

It is an arithmetic number, because the mean of its divisors is an integer number (35547517620).

Almost surely, 2^{1100102111010} is an apocalyptic number.

1100102111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100102111010 is an abundant number, since it is smaller than the sum of its proper divisors (2312459580510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100102111010 is a wasteful number, since it uses less digits than its factorization.

1100102111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83152117 (or 83152104 counting only the distinct ones).

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

Adding to 1100102111010 its reverse (101112010011), we get a palindrome (1201214121021).

The spelling of 1100102111010 in words is "one trillion, one hundred billion, one hundred two million, one hundred eleven thousand, ten".