101222022022100 has 72 divisors (see below), whose sum is σ = 255285370898880. Its totient is φ = 34116478110720.

The previous prime is 101222022022039. The next prime is 101222022022103. The reversal of 101222022022100 is 1220220222101.

It is a happy number.

101222022022100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222022022103) 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 23 ways as a sum of consecutive naturals, for example, 1225406909 + ... + 1225489508.

Almost surely, 2^{101222022022100} is an apocalyptic number.

101222022022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222022022100 is an abundant number, since it is smaller than the sum of its proper divisors (154063348876780).

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

101222022022100 is a wasteful number, since it uses less digits than its factorization.

101222022022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450896497 (or 2450896490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101222022022100 its reverse (1220220222101), we get a palindrome (102442242244201).

The spelling of 101222022022100 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, twenty-two thousand, one hundred".