101022022100 has 36 divisors (see below), whose sum is σ = 221680928700. Its totient is φ = 39954773760.

The previous prime is 101022022099. The next prime is 101022022207. The reversal of 101022022100 is 1220220101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25544350276 + 75477671824 = 159826^2 + 274732^2 .

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 11 ways as a sum of consecutive naturals, for example, 5666495 + ... + 5684294.

It is an arithmetic number, because the mean of its divisors is an integer number (6157803575).

Almost surely, 2^101022022100 is an apocalyptic number.

101022022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022022100 is an abundant number, since it is smaller than the sum of its proper divisors (120658906600).

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

101022022100 is a wasteful number, since it uses less digits than its factorization.

101022022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350892 (or 11350885 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101022022100 its reverse (1220220101), we get a palindrome (102242242201).

The spelling of 101022022100 in words is "one hundred one billion, twenty-two million, twenty-two thousand, one hundred".