100022202002100 has 144 divisors (see below), whose sum is σ = 350195380311168. Its totient is φ = 21517381263360.

The previous prime is 100022202001987. The next prime is 100022202002101. The reversal of 100022202002100 is 1200202220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022202002101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400835477 + ... + 1400906876.

It is an arithmetic number, because the mean of its divisors is an integer number (2431912363272).

Almost surely, 2^{100022202002100} is an apocalyptic number.

100022202002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022202002100 is an abundant number, since it is smaller than the sum of its proper divisors (250173178309068).

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

100022202002100 is a wasteful number, since it uses less digits than its factorization.

100022202002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801742394 (or 2801742387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022202002100 its reverse (1200202220001), we get a palindrome (101222404222101).

The spelling of 100022202002100 in words is "one hundred trillion, twenty-two billion, two hundred two million, two thousand, one hundred".