20321112002100 has 1152 divisors, whose sum is σ = 77215921864704. Its totient is φ = 4012001280000.

The previous prime is 20321112002077. The next prime is 20321112002123. The reversal of 20321112002100 is 120021112302.

It is an interprime number because it is at equal distance from previous prime (20321112002077) and next prime (20321112002123).

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 20321112002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2940397645 + ... + 2940404555.

It is an arithmetic number, because the mean of its divisors is an integer number (67027709952).

Almost surely, 2^{20321112002100} is an apocalyptic number.

20321112002100 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 20321112002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607960932352).

20321112002100 is an abundant number, since it is smaller than the sum of its proper divisors (56894809862604).

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

20321112002100 is a wasteful number, since it uses less digits than its factorization.

20321112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20321112002100 its reverse (120021112302), we get a palindrome (20441133114402).

The spelling of 20321112002100 in words is "twenty trillion, three hundred twenty-one billion, one hundred twelve million, two thousand, one hundred".