10020122102001 has 8 divisors (see below), whose sum is σ = 14574723057504. Its totient is φ = 6072801273920.

The previous prime is 10020122101999. The next prime is 10020122102017.

10020122102001 is nontrivially palindromic in base 10.

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 10020122102001 - 2¹ = 10020122101999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020122102201) 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 7 ways as a sum of consecutive naturals, for example, 151820031816 + ... + 151820031881.

It is an arithmetic number, because the mean of its divisors is an integer number (1821840382188).

Almost surely, 2^{10020122102001} is an apocalyptic number.

10020122102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020122102001 is a deficient number, since it is larger than the sum of its proper divisors (4554600955503).

10020122102001 is a wasteful number, since it uses less digits than its factorization.

10020122102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303640063711.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1002012 and 2102001, that added together give a palindrome (3104013).

The spelling of 10020122102001 in words is "ten trillion, twenty billion, one hundred twenty-two million, one hundred two thousand, one".