20211001100100 has 180 divisors, whose sum is σ = 65646344865024. Its totient is φ = 5378884297920.

The previous prime is 20211001100039. The next prime is 20211001100119. The reversal of 20211001100100 is 100110011202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1593997 + ... + 6554603.

Almost surely, 2^{20211001100100} is an apocalyptic number.

20211001100100 is a gapful number since it is divisible by the number (20) 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 20211001100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32823172432512).

20211001100100 is an abundant number, since it is smaller than the sum of its proper divisors (45435343764924).

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

20211001100100 is a wasteful number, since it uses less digits than its factorization.

20211001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961136 (or 4961120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20211001100100 its reverse (100110011202), we get a palindrome (20311111111302).

The spelling of 20211001100100 in words is "twenty trillion, two hundred eleven billion, one million, one hundred thousand, one hundred".