10120110222001 has 8 divisors (see below), whose sum is σ = 10899868453544. Its totient is φ = 9340536021120.

The previous prime is 10120110221993. The next prime is 10120110222037. The reversal of 10120110222001 is 10022201102101.

It can be written as a sum of positive squares in 4 ways, for example, as 331276401 + 10119778945600 = 18201^2 + 3181160^2 .

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 10120110222001 - 2³ = 10120110221993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120110226001) 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 7 ways as a sum of consecutive naturals, for example, 45893436 + ... + 46113421.

It is an arithmetic number, because the mean of its divisors is an integer number (1362483556693).

Almost surely, 2^{10120110222001} is an apocalyptic number.

It is an amenable number.

10120110222001 is a deficient number, since it is larger than the sum of its proper divisors (779758231543).

10120110222001 is an equidigital number, since it uses as much as digits as its factorization.

10120110222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92015331.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120110222001 its reverse (10022201102101), we get a palindrome (20142311324102).

The spelling of 10120110222001 in words is "ten trillion, one hundred twenty billion, one hundred ten million, two hundred twenty-two thousand, one".