2200121010100 has 36 divisors (see below), whose sum is σ = 5141513563564. Its totient is φ = 812352372480.

The previous prime is 2200121010077. The next prime is 2200121010119. The reversal of 2200121010100 is 10101210022.

It can be written as a sum of positive squares in 6 ways, for example, as 199305102096 + 2000815908004 = 446436^2 + 1414502^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846199089 + ... + 846201688.

Almost surely, 2^{2200121010100} is an apocalyptic number.

2200121010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200121010100 is an abundant number, since it is smaller than the sum of its proper divisors (2941392553464).

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

2200121010100 is a wasteful number, since it uses less digits than its factorization.

2200121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692400804 (or 1692400797 counting only the distinct ones).

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

Adding to 2200121010100 its reverse (10101210022), we get a palindrome (2210222220122).

The spelling of 2200121010100 in words is "two trillion, two hundred billion, one hundred twenty-one million, ten thousand, one hundred".