100020021100000 has 144 divisors (see below), whose sum is σ = 246142923250896. Its totient is φ = 40005463680000.

The previous prime is 100020021099961. The next prime is 100020021100001. The reversal of 100020021100000 is 1120020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020021100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2839282387 + ... + 2839317613.

It is an arithmetic number, because the mean of its divisors is an integer number (1709325855909).

Almost surely, 2^{100020021100000} is an apocalyptic number.

100020021100000 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 100020021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123071461625448).

100020021100000 is an abundant number, since it is smaller than the sum of its proper divisors (146122902150896).

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

100020021100000 is an frugal number, since it uses more digits than its factorization.

100020021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63655 (or 63627 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100020021100000 its reverse (1120020001), we get a palindrome (100021141120001).

The spelling of 100020021100000 in words is "one hundred trillion, twenty billion, twenty-one million, one hundred thousand".