10010022001001 has 16 divisors (see below), whose sum is σ = 10987312307328. Its totient is φ = 9043965254400.

The previous prime is 10010022000977. The next prime is 10010022001019.

10010022001001 is nontrivially palindromic in base 10.

10010022001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010022001001 - 2¹⁴ = 10010021984617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010022001001.

It is not an unprimeable number, because it can be changed into a prime (10010022001051) 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, 10225121 + ... + 11161233.

It is an arithmetic number, because the mean of its divisors is an integer number (686707019208).

Almost surely, 2^{10010022001001} is an apocalyptic number.

10010022001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010022001001 is a deficient number, since it is larger than the sum of its proper divisors (977290306327).

10010022001001 is a wasteful number, since it uses less digits than its factorization.

10010022001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942112.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1001002 and 2001001, that multiplied together give a palindrome (2003006003002).

The spelling of 10010022001001 in words is "ten trillion, ten billion, twenty-two million, one thousand, one".