20211121121100 has 432 divisors, whose sum is σ = 75959743765248. Its totient is φ = 4039884357120.

The previous prime is 20211121121099. The next prime is 20211121121101. The reversal of 20211121121100 is 112112111202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20211121121099) and next prime (20211121121101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20211121121100.

It is not an unprimeable number, because it can be changed into a prime (20211121121101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8829907 + ... + 10880693.

Almost surely, 2^{20211121121100} is an apocalyptic number.

20211121121100 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 20211121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37979871882624).

20211121121100 is an abundant number, since it is smaller than the sum of its proper divisors (55748622644148).

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

20211121121100 is a wasteful number, since it uses less digits than its factorization.

20211121121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050862 (or 2050836 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20211121121100 its reverse (112112111202), we get a palindrome (20323233232302).

The spelling of 20211121121100 in words is "twenty trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".