101222110020000 has 240 divisors, whose sum is σ = 334065783854880. Its totient is φ = 26826961536000.

The previous prime is 101222110019981. The next prime is 101222110020043. The reversal of 101222110020000 is 20011222101.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4605046 + ... + 14954954.

It is an arithmetic number, because the mean of its divisors is an integer number (1391940766062).

Almost surely, 2^{101222110020000} is an apocalyptic number.

101222110020000 is a gapful number since it is divisible by the number (10) 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 101222110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167032891927440).

101222110020000 is an abundant number, since it is smaller than the sum of its proper divisors (232843673834880).

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

101222110020000 is a wasteful number, since it uses less digits than its factorization.

101222110020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350105 (or 10350082 counting only the distinct ones).

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

Adding to 101222110020000 its reverse (20011222101), we get a palindrome (101242121242101).

The spelling of 101222110020000 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred ten million, twenty thousand".