1201113312100 has 72 divisors (see below), whose sum is σ = 2807619698408. Its totient is φ = 443375769600.

The previous prime is 1201113312067. The next prime is 1201113312149. The reversal of 1201113312100 is 12133111021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1138621311844 + 62492000256 = 1067062^2 + 249984^2 .

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, 5112412 + ... + 5342188.

Almost surely, 2^{1201113312100} is an apocalyptic number.

1201113312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201113312100 is an abundant number, since it is smaller than the sum of its proper divisors (1606506386308).

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

1201113312100 is a wasteful number, since it uses less digits than its factorization.

1201113312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233825 (or 233818 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1201113312100 its reverse (12133111021), we get a palindrome (1213246423121).

The spelling of 1201113312100 in words is "one trillion, two hundred one billion, one hundred thirteen million, three hundred twelve thousand, one hundred".