10121120001 has 6 divisors (see below), whose sum is σ = 14619395570. Its totient is φ = 6747413328.

The previous prime is 10121119999. The next prime is 10121120011. The reversal of 10121120001 is 10002112101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10064102400 + 57017601 = 100320^2 + 7551^2 .

It is not a de Polignac number, because 10121120001 - 2¹ = 10121119999 is a prime.

It is a super-3 number, since 3×10121120001³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1124568889 = 10121120001 / (1 + 0 + 1 + 2 + 1 + 1 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562284436 + ... + 562284453.

Almost surely, 2^10121120001 is an apocalyptic number.

It is an amenable number.

10121120001 is a deficient number, since it is larger than the sum of its proper divisors (4498275569).

10121120001 is a wasteful number, since it uses less digits than its factorization.

10121120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124568895 (or 1124568892 counting only the distinct ones).

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

Adding to 10121120001 its reverse (10002112101), we get a palindrome (20123232102).

The spelling of 10121120001 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, one".