101221122201101 has 8 divisors (see below), whose sum is σ = 115688985990720. Its totient is φ = 86755184280288.

The previous prime is 101221122201097. The next prime is 101221122201107. The reversal of 101221122201101 is 101102221122101.

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

It is a cyclic number.

It is not a de Polignac number, because 101221122201101 - 2² = 101221122201097 is a prime.

It is a super-2 number, since 2×101221122201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221122201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221122201107) 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, 481354571 + ... + 481564808.

It is an arithmetic number, because the mean of its divisors is an integer number (14461123248840).

Almost surely, 2^{101221122201101} is an apocalyptic number.

It is an amenable number.

101221122201101 is a deficient number, since it is larger than the sum of its proper divisors (14467863789619).

101221122201101 is an equidigital number, since it uses as much as digits as its factorization.

101221122201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962934403.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101221122201101 its reverse (101102221122101), we get a palindrome (202323343323202).

The spelling of 101221122201101 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, one hundred one".