1132211120100 has 144 divisors (see below), whose sum is σ = 3346674299136. Its totient is φ = 295400960000.

The previous prime is 1132211120099. The next prime is 1132211120111. The reversal of 1132211120100 is 10211122311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132211120100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48788500 + ... + 48811700.

It is an arithmetic number, because the mean of its divisors is an integer number (23240793744).

Almost surely, 2^{1132211120100} is an apocalyptic number.

1132211120100 is a gapful number since it is divisible by the number (10) 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 1132211120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673337149568).

1132211120100 is an abundant number, since it is smaller than the sum of its proper divisors (2214463179036).

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

1132211120100 is a wasteful number, since it uses less digits than its factorization.

1132211120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26726 (or 26719 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1132211120100 its reverse (10211122311), we get a palindrome (1142422242411).

It can be divided in two parts, 113221 and 1120100, that added together give a palindrome (1233321).

The spelling of 1132211120100 in words is "one trillion, one hundred thirty-two billion, two hundred eleven million, one hundred twenty thousand, one hundred".