100001201221012 has 144 divisors (see below), whose sum is σ = 231060581845632. Its totient is φ = 36949570744320.

The previous prime is 100001201220937. The next prime is 100001201221037. The reversal of 100001201221012 is 210122102100001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100001201220983 and 100001201221001.

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, 5793448 + ... + 15282880.

It is an arithmetic number, because the mean of its divisors is an integer number (1604587373928).

Almost surely, 2^{100001201221012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001201221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115530290922816).

100001201221012 is an abundant number, since it is smaller than the sum of its proper divisors (131059380624620).

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

100001201221012 is a wasteful number, since it uses less digits than its factorization.

100001201221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489618 (or 9489603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100001201221012 its reverse (210122102100001), we get a palindrome (310123303321013).

The spelling of 100001201221012 in words is "one hundred trillion, one billion, two hundred one million, two hundred twenty-one thousand, twelve".