1101100101012 has 54 divisors (see below), whose sum is σ = 2836843271262. Its totient is φ = 360108176064.

The previous prime is 1101100100987. The next prime is 1101100101019. The reversal of 1101100101012 is 2101010011011.

It can be written as a sum of positive squares in 3 ways, for example, as 106141730436 + 994958370576 = 325794^2 + 997476^2 .

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 = 1101100100985 and 1101100101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100101019) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5343183 + ... + 5545430.

It is an arithmetic number, because the mean of its divisors is an integer number (52534134653).

Almost surely, 2^{1101100101012} is an apocalyptic number.

1101100101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101100101012 is an abundant number, since it is smaller than the sum of its proper divisors (1735743170250).

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

1101100101012 is a wasteful number, since it uses less digits than its factorization.

1101100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888729 (or 10888671 counting only the distinct ones).

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

Adding to 1101100101012 its reverse (2101010011011), we get a palindrome (3202110112023).

Subtracting 1101100101012 from its reverse (2101010011011), we obtain a palindrome (999909909999).

The spelling of 1101100101012 in words is "one trillion, one hundred one billion, one hundred million, one hundred one thousand, twelve".