101110221212001 has 16 divisors (see below), whose sum is σ = 137685531869184. Its totient is φ = 65970935859024.

The previous prime is 101110221211997. The next prime is 101110221212047. The reversal of 101110221212001 is 100212122011101.

It is a happy number.

It is not a de Polignac number, because 101110221212001 - 2² = 101110221211997 is a prime.

It is a super-3 number, since 3×101110221212001³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101110221212101) 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, 3655771 + ... + 14682816.

It is an arithmetic number, because the mean of its divisors is an integer number (8605345741824).

Almost surely, 2^{101110221212001} is an apocalyptic number.

It is an amenable number.

101110221212001 is a deficient number, since it is larger than the sum of its proper divisors (36575310657183).

101110221212001 is a wasteful number, since it uses less digits than its factorization.

101110221212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18377740.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101110221212001 its reverse (100212122011101), we get a palindrome (201322343223102).

The spelling of 101110221212001 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred twelve thousand, one".