1201122122100 has 144 divisors (see below), whose sum is σ = 3536904248640. Its totient is φ = 314651520000.

The previous prime is 1201122122099. The next prime is 1201122122129. The reversal of 1201122122100 is 12212211021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201122122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5387646 + ... + 5606154.

It is an arithmetic number, because the mean of its divisors is an integer number (24561835060).

Almost surely, 2^{1201122122100} is an apocalyptic number.

1201122122100 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 1201122122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768452124320).

1201122122100 is an abundant number, since it is smaller than the sum of its proper divisors (2335782126540).

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

1201122122100 is a wasteful number, since it uses less digits than its factorization.

1201122122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218850 (or 218843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1201122122100 its reverse (12212211021), we get a palindrome (1213334333121).

The spelling of 1201122122100 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".