10001221121013 has 8 divisors (see below), whose sum is σ = 13335033504000. Its totient is φ = 6667444742688.

The previous prime is 10001221120987. The next prime is 10001221121063. The reversal of 10001221121013 is 31012112210001.

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

It is not a de Polignac number, because 10001221121013 - 2⁶ = 10001221120949 is a prime.

It is a super-2 number, since 2×10001221121013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001221120983 and 10001221121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001221121063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8346213 + ... + 9468986.

It is an arithmetic number, because the mean of its divisors is an integer number (1666879188000).

Almost surely, 2^{10001221121013} is an apocalyptic number.

It is an amenable number.

10001221121013 is a deficient number, since it is larger than the sum of its proper divisors (3333812382987).

10001221121013 is a wasteful number, since it uses less digits than its factorization.

10001221121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002331.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10001221121013 its reverse (31012112210001), we get a palindrome (41013333331014).

The spelling of 10001221121013 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred twenty-one thousand, thirteen".