1201331000100 has 1152 divisors, whose sum is σ = 4636503244800. Its totient is φ = 232888320000.

The previous prime is 1201331000083. The next prime is 1201331000113. The reversal of 1201331000100 is 10001331021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5245986786 + ... + 5245987014.

It is an arithmetic number, because the mean of its divisors is an integer number (4024742400).

Almost surely, 2^{1201331000100} is an apocalyptic number.

1201331000100 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 1201331000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318251622400).

1201331000100 is an abundant number, since it is smaller than the sum of its proper divisors (3435172244700).

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

1201331000100 is a wasteful number, since it uses less digits than its factorization.

1201331000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1201331000100 its reverse (10001331021), we get a palindrome (1211332331121).

The spelling of 1201331000100 in words is "one trillion, two hundred one billion, three hundred thirty-one million, one hundred", and thus it is an aban number.