1201200101100 has 108 divisors (see below), whose sum is σ = 3766762208664. Its totient is φ = 320178186240.

The previous prime is 1201200101071. The next prime is 1201200101131. The reversal of 1201200101100 is 11010021021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1745932 + ... + 2334668.

It is an arithmetic number, because the mean of its divisors is an integer number (34877427858).

Almost surely, 2^{1201200101100} is an apocalyptic number.

1201200101100 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 1201200101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883381104332).

1201200101100 is an abundant number, since it is smaller than the sum of its proper divisors (2565562107564).

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

1201200101100 is a wasteful number, since it uses less digits than its factorization.

1201200101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591024 (or 591014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1201200101100 its reverse (11010021021), we get a palindrome (1212210122121).

The spelling of 1201200101100 in words is "one trillion, two hundred one billion, two hundred million, one hundred one thousand, one hundred".