101000221200100 has 36 divisors (see below), whose sum is σ = 221340484778868. Its totient is φ = 40000087600000.

The previous prime is 101000221200079. The next prime is 101000221200101. The reversal of 101000221200100 is 1002122000101.

It can be written as a sum of positive squares in 6 ways, for example, as 25021384571044 + 75978836629056 = 5002138^2 + 8716584^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101000221200101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5000000851 + ... + 5000021050.

It is an arithmetic number, because the mean of its divisors is an integer number (6148346799413).

Almost surely, 2^{101000221200100} is an apocalyptic number.

101000221200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000221200100 is an abundant number, since it is smaller than the sum of its proper divisors (120340263578768).

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

101000221200100 is a wasteful number, since it uses less digits than its factorization.

101000221200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000022016 (or 10000022009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101000221200100 its reverse (1002122000101), we get a palindrome (102002343200201).

The spelling of 101000221200100 in words is "one hundred one trillion, two hundred twenty-one million, two hundred thousand, one hundred".