1211313212100 has 360 divisors, whose sum is σ = 4032440830880. Its totient is φ = 314364395520.

The previous prime is 1211313212099. The next prime is 1211313212111. The reversal of 1211313212100 is 12123131121.

1211313212100 is a `hidden beast` number, since 1 + 2 + 1 + 131 + 321 + 210 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98562756 + ... + 98575044.

Almost surely, 2^{1211313212100} is an apocalyptic number.

1211313212100 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 1211313212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016220415440).

1211313212100 is an abundant number, since it is smaller than the sum of its proper divisors (2821127618780).

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

1211313212100 is a wasteful number, since it uses less digits than its factorization.

1211313212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641 (or 12625 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1211313212100 its reverse (12123131121), we get a palindrome (1223436343221).

The spelling of 1211313212100 in words is "one trillion, two hundred eleven billion, three hundred thirteen million, two hundred twelve thousand, one hundred".