10000121200101 has 20 divisors (see below), whose sum is σ = 14939688602124. Its totient is φ = 6666195888000.

The previous prime is 10000121200079. The next prime is 10000121200103. The reversal of 10000121200101 is 10100212100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7524454969476 + 2475666230625 = 2743074^2 + 1573425^2 .

It is not a de Polignac number, because 10000121200101 - 2⁷ = 10000121199973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000121200103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4120980 + ... + 6081341.

Almost surely, 2^{10000121200101} is an apocalyptic number.

It is an amenable number.

10000121200101 is a deficient number, since it is larger than the sum of its proper divisors (4939567402023).

10000121200101 is a wasteful number, since it uses less digits than its factorization.

10000121200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214434 (or 10214425 counting only the distinct ones).

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

Adding to 10000121200101 its reverse (10100212100001), we get a palindrome (20100333300102).

The spelling of 10000121200101 in words is "ten trillion, one hundred twenty-one million, two hundred thousand, one hundred one".