1100101121712 has 120 divisors (see below), whose sum is σ = 3104868976560. Its totient is φ = 363603018240.

The previous prime is 1100101121711. The next prime is 1100101121723. The reversal of 1100101121712 is 2171211010011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1100101121711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8105998 + ... + 8240594.

It is an arithmetic number, because the mean of its divisors is an integer number (25873908138).

Almost surely, 2^{1100101121712} is an apocalyptic number.

1100101121712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100101121712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552434488280).

1100101121712 is an abundant number, since it is smaller than the sum of its proper divisors (2004767854848).

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

1100101121712 is a wasteful number, since it uses less digits than its factorization.

1100101121712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135091 (or 135082 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 18.

Adding to 1100101121712 its reverse (2171211010011), we get a palindrome (3271312131723).

The spelling of 1100101121712 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, seven hundred twelve".