20120221120100 has 72 divisors (see below), whose sum is σ = 44095742145000. Its totient is φ = 7967938816000.

The previous prime is 20120221120019. The next prime is 20120221120117. The reversal of 20120221120100 is 102112202102.

It can be written as a sum of positive squares in 12 ways, for example, as 53118264676 + 20067102855424 = 230474^2 + 4479632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210527126 + ... + 210622674.

It is an arithmetic number, because the mean of its divisors is an integer number (612440863125).

Almost surely, 2^{20120221120100} is an apocalyptic number.

20120221120100 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 20120221120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22047871072500).

20120221120100 is an abundant number, since it is smaller than the sum of its proper divisors (23975521024900).

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

20120221120100 is a wasteful number, since it uses less digits than its factorization.

20120221120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116513 (or 116506 counting only the distinct ones).

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

Adding to 20120221120100 its reverse (102112202102), we get a palindrome (20222333322202).

The spelling of 20120221120100 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".