20211002121200 has 240 divisors, whose sum is σ = 53293547137536. Its totient is φ = 7304857190400.

The previous prime is 20211002121143. The next prime is 20211002121251. The reversal of 20211002121200 is 212120011202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523541099 + ... + 523579701.

Almost surely, 2^{20211002121200} is an apocalyptic number.

20211002121200 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 20211002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26646773568768).

20211002121200 is an abundant number, since it is smaller than the sum of its proper divisors (33082545016336).

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

20211002121200 is a wasteful number, since it uses less digits than its factorization.

20211002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39352 (or 39341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20211002121200 its reverse (212120011202), we get a palindrome (20423122132402).

The spelling of 20211002121200 in words is "twenty trillion, two hundred eleven billion, two million, one hundred twenty-one thousand, two hundred".