10100121200021 has 16 divisors (see below), whose sum is σ = 10523802593280. Its totient is φ = 9682980572160.

The previous prime is 10100121200017. The next prime is 10100121200053. The reversal of 10100121200021 is 12000212100101.

It is a cyclic number.

It is not a de Polignac number, because 10100121200021 - 2² = 10100121200017 is a prime.

It is a super-2 number, since 2×10100121200021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100121199975 and 10100121200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121400021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2101730 + ... + 4961603.

It is an arithmetic number, because the mean of its divisors is an integer number (657737662080).

Almost surely, 2^{10100121200021} is an apocalyptic number.

It is an amenable number.

10100121200021 is a deficient number, since it is larger than the sum of its proper divisors (423681393259).

10100121200021 is a wasteful number, since it uses less digits than its factorization.

10100121200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063796.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100121200021 its reverse (12000212100101), we get a palindrome (22100333300122).

The spelling of 10100121200021 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred thousand, twenty-one".