10120001121001 has 8 divisors (see below), whose sum is σ = 10223676892800. Its totient is φ = 10016393540400.

The previous prime is 10120001120963. The next prime is 10120001121023. The reversal of 10120001121001 is 10012110002101.

10120001121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120001121001 - 2¹⁵ = 10120001088233 is a prime.

It is a super-2 number, since 2×10120001121001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120001124001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16749441 + ... + 17343118.

It is an arithmetic number, because the mean of its divisors is an integer number (1277959611600).

Almost surely, 2^{10120001121001} is an apocalyptic number.

It is an amenable number.

10120001121001 is a deficient number, since it is larger than the sum of its proper divisors (103675771799).

10120001121001 is a wasteful number, since it uses less digits than its factorization.

10120001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34095599.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120001121001 its reverse (10012110002101), we get a palindrome (20132111123102).

The spelling of 10120001121001 in words is "ten trillion, one hundred twenty billion, one million, one hundred twenty-one thousand, one".