100020121201020 has 96 divisors (see below), whose sum is σ = 282772680922368. Its totient is φ = 26413507717632.

The previous prime is 100020121200991. The next prime is 100020121201031. The reversal of 100020121201020 is 20102121020001.

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 = 100020121200987 and 100020121201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15615399 + ... + 21068481.

It is an arithmetic number, because the mean of its divisors is an integer number (2945548759608).

Almost surely, 2^{100020121201020} is an apocalyptic number.

100020121201020 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 100020121201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141386340461184).

100020121201020 is an abundant number, since it is smaller than the sum of its proper divisors (182752559721348).

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

100020121201020 is a wasteful number, since it uses less digits than its factorization.

100020121201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456059 (or 5456057 counting only the distinct ones).

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

Adding to 100020121201020 its reverse (20102121020001), we get a palindrome (120122242221021).

The spelling of 100020121201020 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, two hundred one thousand, twenty".