101100022122100 has 144 divisors (see below), whose sum is σ = 239005110193920. Its totient is φ = 36991824076800.

The previous prime is 101100022122083. The next prime is 101100022122101. The reversal of 101100022122100 is 1221220001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100022122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866517 + ... + 14246083.

It is an arithmetic number, because the mean of its divisors is an integer number (1659757709680).

Almost surely, 2^{101100022122100} is an apocalyptic number.

101100022122100 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 101100022122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119502555096960).

101100022122100 is an abundant number, since it is smaller than the sum of its proper divisors (137905088071820).

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

101100022122100 is a wasteful number, since it uses less digits than its factorization.

101100022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13379738 (or 13379731 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100022122100 its reverse (1221220001101), we get a palindrome (102321242123201).

The spelling of 101100022122100 in words is "one hundred one trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred".