10100001221121 has 16 divisors (see below), whose sum is σ = 15436147136384. Its totient is φ = 5754303362304.

The previous prime is 10100001221119. The next prime is 10100001221143. The reversal of 10100001221121 is 12112210000101.

It is not a de Polignac number, because 10100001221121 - 2¹ = 10100001221119 is a prime.

It is a super-2 number, since 2×10100001221121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100001221097 and 10100001221106.

It is not an unprimeable number, because it can be changed into a prime (10100001221021) 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, 713572210 + ... + 713586363.

It is an arithmetic number, because the mean of its divisors is an integer number (964759196024).

Almost surely, 2^{10100001221121} is an apocalyptic number.

It is an amenable number.

10100001221121 is a deficient number, since it is larger than the sum of its proper divisors (5336145915263).

10100001221121 is a wasteful number, since it uses less digits than its factorization.

10100001221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427158920.

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

Adding to 10100001221121 its reverse (12112210000101), we get a palindrome (22212211221222).

The spelling of 10100001221121 in words is "ten trillion, one hundred billion, one million, two hundred twenty-one thousand, one hundred twenty-one".