20022012110100 has 576 divisors, whose sum is σ = 78374515709952. Its totient is φ = 3811062528000.

The previous prime is 20022012110057. The next prime is 20022012110117. The reversal of 20022012110100 is 101121022002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 39084822 + ... + 39593778.

It is an arithmetic number, because the mean of its divisors is an integer number (136066867552).

Almost surely, 2^{20022012110100} is an apocalyptic number.

20022012110100 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 20022012110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39187257854976).

20022012110100 is an abundant number, since it is smaller than the sum of its proper divisors (58352503599852).

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

20022012110100 is a wasteful number, since it uses less digits than its factorization.

20022012110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509136 (or 509129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20022012110100 its reverse (101121022002), we get a palindrome (20123133132102).

It can be divided in two parts, 2002 and 2012110100, that added together give a palindrome (2012112102).

The spelling of 20022012110100 in words is "twenty trillion, twenty-two billion, twelve million, one hundred ten thousand, one hundred".