10001022010001 has 16 divisors (see below), whose sum is σ = 11666358730368. Its totient is φ = 8472301152000.

The previous prime is 10001022009989. The next prime is 10001022010013.

10001022010001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10001022009989) and next prime (10001022010013).

It is not a de Polignac number, because 10001022010001 - 2¹⁴ = 10001021993617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001022010051) 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, 264740525 + ... + 264778298.

It is an arithmetic number, because the mean of its divisors is an integer number (729147420648).

Almost surely, 2^{10001022010001} is an apocalyptic number.

10001022010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001022010001 is a deficient number, since it is larger than the sum of its proper divisors (1665336720367).

10001022010001 is a wasteful number, since it uses less digits than its factorization.

10001022010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529518952.

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

It can be divided in two parts, 1000102 and 2010001, that multiplied together give a palindrome (2010206020102).

The spelling of 10001022010001 in words is "ten trillion, one billion, twenty-two million, ten thousand, one".