1211120112100 has 36 divisors (see below), whose sum is σ = 2645769136500. Its totient is φ = 481196709760.

The previous prime is 1211120112073. The next prime is 1211120112199. The reversal of 1211120112100 is 12110211121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1084911844 + 1210035200256 = 32938^2 + 1100016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40626715 + ... + 40656514.

It is an arithmetic number, because the mean of its divisors is an integer number (73493587125).

Almost surely, 2^{1211120112100} is an apocalyptic number.

1211120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211120112100 is an abundant number, since it is smaller than the sum of its proper divisors (1434649024400).

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

1211120112100 is a wasteful number, since it uses less digits than its factorization.

1211120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81283392 (or 81283385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1211120112100 its reverse (12110211121), we get a palindrome (1223230323221).

The spelling of 1211120112100 in words is "one trillion, two hundred eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred".