10121221010001 has 8 divisors (see below), whose sum is σ = 13495162394560. Its totient is φ = 6747380149392.

The previous prime is 10121221009969. The next prime is 10121221010071. The reversal of 10121221010001 is 10001012212101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10121221010001 - 2⁵ = 10121221009969 is a prime.

It is a super-2 number, since 2×10121221010001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121221010071) 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, 24895741 + ... + 25299018.

It is an arithmetic number, because the mean of its divisors is an integer number (1686895299320).

Almost surely, 2^{10121221010001} is an apocalyptic number.

It is an amenable number.

10121221010001 is a deficient number, since it is larger than the sum of its proper divisors (3373941384559).

10121221010001 is an equidigital number, since it uses as much as digits as its factorization.

10121221010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50261975.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121221010001 its reverse (10001012212101), we get a palindrome (20122233222102).

It can be divided in two parts, 10121 and 221010001, that added together give a palindrome (221020122).

The spelling of 10121221010001 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, ten thousand, one".