100001120010021 has 12 divisors (see below), whose sum is σ = 144446316091948. Its totient is φ = 66667296176064.

The previous prime is 100001120010013. The next prime is 100001120010031. The reversal of 100001120010021 is 120010021100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45375865017921 + 54625254992100 = 6736161^2 + 7390890^2 .

It is not a de Polignac number, because 100001120010021 - 2³ = 100001120010013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001120009985 and 100001120010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001120010031) 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, 4190650 + ... + 14750043.

Almost surely, 2^{100001120010021} is an apocalyptic number.

It is an amenable number.

100001120010021 is a deficient number, since it is larger than the sum of its proper divisors (44445196081927).

100001120010021 is a wasteful number, since it uses less digits than its factorization.

100001120010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19527332 (or 19527329 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001120010021 its reverse (120010021100001), we get a palindrome (220011141110022).

It can be divided in two parts, 100001 and 120010021, that multiplied together give a palindrome (12001122110021).

The spelling of 100001120010021 in words is "one hundred trillion, one billion, one hundred twenty million, ten thousand, twenty-one".