1201201100 has 72 divisors (see below), whose sum is σ = 2849536368. Its totient is φ = 435884800.

The previous prime is 1201201093. The next prime is 1201201121. The reversal of 1201201100 is 11021021.

It is a super-3 number, since 3×1201201100³ (a number of 28 digits) contains 333 as substring.

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, 743894 + ... + 745506.

It is an arithmetic number, because the mean of its divisors is an integer number (39576894).

Almost surely, 2^1201201100 is an apocalyptic number.

1201201100 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 1201201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424768184).

1201201100 is an abundant number, since it is smaller than the sum of its proper divisors (1648335268).

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

1201201100 is a wasteful number, since it uses less digits than its factorization.

1201201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1201201100 is about 34658.3482006861. The cubic root of 1201201100 is about 1063.0129951829.

Adding to 1201201100 its reverse (11021021), we get a palindrome (1212222121).

The spelling of 1201201100 in words is "one billion, two hundred one million, two hundred one thousand, one hundred".