10120110221001 has 32 divisors (see below), whose sum is σ = 14810526207360. Its totient is φ = 6095859929600.

The previous prime is 10120110220993. The next prime is 10120110221009. The reversal of 10120110221001 is 10012201102101.

It is an interprime number because it is at equal distance from previous prime (10120110220993) and next prime (10120110221009).

It is a cyclic number.

It is not a de Polignac number, because 10120110221001 - 2³ = 10120110220993 is a prime.

It is a super-2 number, since 2×10120110221001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120110221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204431 + ... + 5009963.

It is an arithmetic number, because the mean of its divisors is an integer number (462828943980).

Almost surely, 2^{10120110221001} is an apocalyptic number.

10120110221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120110221001 is a deficient number, since it is larger than the sum of its proper divisors (4690415986359).

10120110221001 is a wasteful number, since it uses less digits than its factorization.

10120110221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806217.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120110221001 its reverse (10012201102101), we get a palindrome (20132311323102).

The spelling of 10120110221001 in words is "ten trillion, one hundred twenty billion, one hundred ten million, two hundred twenty-one thousand, one".