1100121211112 has 96 divisors (see below), whose sum is σ = 2622844566720. Its totient is φ = 427765685760.

The previous prime is 1100121211081. The next prime is 1100121211127. The reversal of 1100121211112 is 2111121210011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1915328 + ... + 2422544.

It is an arithmetic number, because the mean of its divisors is an integer number (27321297570).

Almost surely, 2^{1100121211112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100121211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311422283360).

1100121211112 is an abundant number, since it is smaller than the sum of its proper divisors (1522723355608).

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

1100121211112 is a wasteful number, since it uses less digits than its factorization.

1100121211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507751 (or 507740 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1100121211112 its reverse (2111121210011), we get a palindrome (3211242421123).

The spelling of 1100121211112 in words is "one trillion, one hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twelve".