100201001201120 has 192 divisors, whose sum is σ = 243259057440000. Its totient is φ = 38990128066560.

The previous prime is 100201001201113. The next prime is 100201001201123. The reversal of 100201001201120 is 21102100102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201001201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773694131 + ... + 773823629.

It is an arithmetic number, because the mean of its divisors is an integer number (1266974257500).

Almost surely, 2^{100201001201120} is an apocalyptic number.

100201001201120 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 100201001201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121629528720000).

100201001201120 is an abundant number, since it is smaller than the sum of its proper divisors (143058056238880).

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

100201001201120 is a wasteful number, since it uses less digits than its factorization.

100201001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130481 (or 130473 counting only the distinct ones).

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

Adding to 100201001201120 its reverse (21102100102001), we get a palindrome (121303101303121).

The spelling of 100201001201120 in words is "one hundred trillion, two hundred one billion, one million, two hundred one thousand, one hundred twenty".