100202220022000 has 160 divisors (see below), whose sum is σ = 244681005913344. Its totient is φ = 39685574048000.

The previous prime is 100202220021923. The next prime is 100202220022019. The reversal of 100202220022000 is 220022202001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 413112759 + ... + 413355241.

Almost surely, 2^{100202220022000} is an apocalyptic number.

100202220022000 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 100202220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122340502956672).

100202220022000 is an abundant number, since it is smaller than the sum of its proper divisors (144478785891344).

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

100202220022000 is a wasteful number, since it uses less digits than its factorization.

100202220022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244544 (or 244528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 100202220022000 its reverse (220022202001), we get a palindrome (100422242224001).

The spelling of 100202220022000 in words is "one hundred trillion, two hundred two billion, two hundred twenty million, twenty-two thousand".