20101213222000 has 160 divisors (see below), whose sum is σ = 49545367822080. Its totient is φ = 7885024409600.

The previous prime is 20101213221983. The next prime is 20101213222037. The reversal of 20101213222000 is 22231210102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228173961 + ... + 228262039.

It is an arithmetic number, because the mean of its divisors is an integer number (309658548888).

Almost surely, 2^{20101213222000} is an apocalyptic number.

20101213222000 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 20101213222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772683911040).

20101213222000 is an abundant number, since it is smaller than the sum of its proper divisors (29444154600080).

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

20101213222000 is a wasteful number, since it uses less digits than its factorization.

20101213222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90308 (or 90292 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20101213222000 its reverse (22231210102), we get a palindrome (20123444432102).

The spelling of 20101213222000 in words is "twenty trillion, one hundred one billion, two hundred thirteen million, two hundred twenty-two thousand".