100201122001020 has 96 divisors (see below), whose sum is σ = 288155286619200. Its totient is φ = 25997284675584.

The previous prime is 100201122000979. The next prime is 100201122001021. The reversal of 100201122001020 is 20100221102001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100201122000987 and 100201122001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201122001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69144036 + ... + 70578324.

It is an arithmetic number, because the mean of its divisors is an integer number (3001617568950).

Almost surely, 2^{100201122001020} is an apocalyptic number.

100201122001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201122001020 is an abundant number, since it is smaller than the sum of its proper divisors (187954164618180).

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

100201122001020 is a wasteful number, since it uses less digits than its factorization.

100201122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465807 (or 1465805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201122001020 its reverse (20100221102001), we get a palindrome (120301343103021).

It can be divided in two parts, 100201 and 122001020, that added together give a palindrome (122101221).

The spelling of 100201122001020 in words is "one hundred trillion, two hundred one billion, one hundred twenty-two million, one thousand, twenty".