10100122212100 has 18 divisors (see below), whose sum is σ = 21917265200474. Its totient is φ = 4040048884800.

The previous prime is 10100122212083. The next prime is 10100122212127. The reversal of 10100122212100 is 121222100101.

It can be written as a sum of positive squares in 3 ways, for example, as 21325929156 + 10078796282944 = 146034^2 + 3174712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50500610961 + ... + 50500611160.

Almost surely, 2^{10100122212100} is an apocalyptic number.

10100122212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100122212100 is an abundant number, since it is smaller than the sum of its proper divisors (11817142988374).

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

10100122212100 is a wasteful number, since it uses less digits than its factorization.

10100122212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001222135 (or 101001222128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100122212100 its reverse (121222100101), we get a palindrome (10221344312201).

The spelling of 10100122212100 in words is "ten trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".