1201122001100 has 216 divisors, whose sum is σ = 3192858456480. Its totient is φ = 390290503680.

The previous prime is 1201122001061. The next prime is 1201122001109. The reversal of 1201122001100 is 11002211021.

It is not an unprimeable number, because it can be changed into a prime (1201122001109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12235412 + ... + 12333188.

Almost surely, 2^{1201122001100} is an apocalyptic number.

1201122001100 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 1201122001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596429228240).

1201122001100 is an abundant number, since it is smaller than the sum of its proper divisors (1991736455380).

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

1201122001100 is a wasteful number, since it uses less digits than its factorization.

1201122001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97937 (or 97923 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1201122001100 its reverse (11002211021), we get a palindrome (1212124212121).

It can be divided in two parts, 120112 and 2001100, that added together give a palindrome (2121212).

The spelling of 1201122001100 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one thousand, one hundred".