10010122101001 has 16 divisors (see below), whose sum is σ = 11028000227328. Its totient is φ = 9010506733200.

The previous prime is 10010122100987. The next prime is 10010122101011.

10010122101001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10010122101001 - 2²⁵ = 10010088546569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010122101011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6420015 + ... + 7825396.

It is an arithmetic number, because the mean of its divisors is an integer number (689250014208).

Almost surely, 2^{10010122101001} is an apocalyptic number.

10010122101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010122101001 is a deficient number, since it is larger than the sum of its proper divisors (1017878126327).

10010122101001 is a wasteful number, since it uses less digits than its factorization.

10010122101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14246052.

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

It can be divided in two parts, 1001012 and 2101001, that multiplied together give a palindrome (2103127213012).

The spelling of 10010122101001 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred one thousand, one".