20120222021100 has 144 divisors (see below), whose sum is σ = 58499630784000. Its totient is φ = 5339137253120.

The previous prime is 20120222021071. The next prime is 20120222021129. The reversal of 20120222021100 is 112022202102.

It is an interprime number because it is at equal distance from previous prime (20120222021071) and next prime (20120222021129).

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 20120222021100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140827501 + ... + 140970299.

It is an arithmetic number, because the mean of its divisors is an integer number (406247436000).

Almost surely, 2^{20120222021100} is an apocalyptic number.

20120222021100 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 20120222021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29249815392000).

20120222021100 is an abundant number, since it is smaller than the sum of its proper divisors (38379408762900).

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

20120222021100 is a wasteful number, since it uses less digits than its factorization.

20120222021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145112 (or 145105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20120222021100 its reverse (112022202102), we get a palindrome (20232244223202).

The spelling of 20120222021100 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-two million, twenty-one thousand, one hundred".