101222022100100 has 144 divisors (see below), whose sum is σ = 243051450961536. Its totient is φ = 36281164416000.

The previous prime is 101222022100061. The next prime is 101222022100109. The reversal of 101222022100100 is 1001220222101.

It is not an unprimeable number, because it can be changed into a prime (101222022100109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 341383112 + ... + 341679488.

It is an arithmetic number, because the mean of its divisors is an integer number (1687857298344).

Almost surely, 2^{101222022100100} is an apocalyptic number.

101222022100100 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 101222022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121525725480768).

101222022100100 is an abundant number, since it is smaller than the sum of its proper divisors (141829428861436).

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

101222022100100 is a wasteful number, since it uses less digits than its factorization.

101222022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300846 (or 300839 counting only the distinct ones).

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

Adding to 101222022100100 its reverse (1001220222101), we get a palindrome (102223242322201).

The spelling of 101222022100100 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred".