1101011112100 has 36 divisors (see below), whose sum is σ = 2389571565444. Its totient is φ = 440334868480.

The previous prime is 1101011112079. The next prime is 1101011112109. The reversal of 1101011112100 is 12111101011.

It can be written as a sum of positive squares in 6 ways, for example, as 9119868004 + 1091891244096 = 95498^2 + 1044936^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1101011112109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231229 + ... + 1501828.

It is an arithmetic number, because the mean of its divisors is an integer number (66376987929).

Almost surely, 2^{1101011112100} is an apocalyptic number.

1101011112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101011112100 is an abundant number, since it is smaller than the sum of its proper divisors (1288560453344).

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

1101011112100 is a wasteful number, since it uses less digits than its factorization.

1101011112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739424 (or 1739417 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1101011112100 its reverse (12111101011), we get a palindrome (1113122213111).

The spelling of 1101011112100 in words is "one trillion, one hundred one billion, eleven million, one hundred twelve thousand, one hundred".