101022202020100 has 36 divisors (see below), whose sum is σ = 219909718447524. Its totient is φ = 40281407985280.

The previous prime is 101022202019993. The next prime is 101022202020151. The reversal of 101022202020100 is 1020202220101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31146913607364 + 69875288412736 = 5580942^2 + 8359144^2 .

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, 1593378427 + ... + 1593441826.

It is an arithmetic number, because the mean of its divisors is an integer number (6108603290209).

Almost surely, 2^{101022202020100} is an apocalyptic number.

101022202020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022202020100 is an abundant number, since it is smaller than the sum of its proper divisors (118887516427424).

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

101022202020100 is a wasteful number, since it uses less digits than its factorization.

101022202020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186820584 (or 3186820577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101022202020100 its reverse (1020202220101), we get a palindrome (102042404240201).

The spelling of 101022202020100 in words is "one hundred one trillion, twenty-two billion, two hundred two million, twenty thousand, one hundred".