10120010221001 has 16 divisors (see below), whose sum is σ = 10390503497088. Its totient is φ = 9851125737600.

The previous prime is 10120010220997. The next prime is 10120010221007. The reversal of 10120010221001 is 10012201002101.

It is a cyclic number.

It is not a de Polignac number, because 10120010221001 - 2² = 10120010220997 is a prime.

It is a super-2 number, since 2×10120010221001² (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 (10120010221007) 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, 78582275 + ... + 78710951.

It is an arithmetic number, because the mean of its divisors is an integer number (649406468568).

Almost surely, 2^{10120010221001} is an apocalyptic number.

It is an amenable number.

10120010221001 is a deficient number, since it is larger than the sum of its proper divisors (270493276087).

10120010221001 is a wasteful number, since it uses less digits than its factorization.

10120010221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134912.

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

Adding to 10120010221001 its reverse (10012201002101), we get a palindrome (20132211223102).

The spelling of 10120010221001 in words is "ten trillion, one hundred twenty billion, ten million, two hundred twenty-one thousand, one".