101220121010001 has 128 divisors (see below), whose sum is σ = 162660003840000. Its totient is φ = 54775796244480.

The previous prime is 101220121009991. The next prime is 101220121010027. The reversal of 101220121010001 is 100010121022101.

It is not a de Polignac number, because 101220121010001 - 2⁹ = 101220121009489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101220121010401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19850972350 + ... + 19850977448.

It is an arithmetic number, because the mean of its divisors is an integer number (1270781280000).

Almost surely, 2^{101220121010001} is an apocalyptic number.

It is an amenable number.

101220121010001 is a deficient number, since it is larger than the sum of its proper divisors (61439882829999).

101220121010001 is a wasteful number, since it uses less digits than its factorization.

101220121010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399.

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

Adding to 101220121010001 its reverse (100010121022101), we get a palindrome (201230242032102).

The spelling of 101220121010001 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-one million, ten thousand, one".