101222201122101 has 48 divisors (see below), whose sum is σ = 148528564748928. Its totient is φ = 66421662336000.

The previous prime is 101222201122061. The next prime is 101222201122169. The reversal of 101222201122101 is 101221102222101.

101222201122101 is a `hidden beast` number, since 1 + 0 + 122 + 220 + 112 + 210 + 1 = 666.

It is not a de Polignac number, because 101222201122101 - 2¹⁵ = 101222201089333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222201122171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81957366 + ... + 83183256.

It is an arithmetic number, because the mean of its divisors is an integer number (3094345098936).

Almost surely, 2^{101222201122101} is an apocalyptic number.

It is an amenable number.

101222201122101 is a deficient number, since it is larger than the sum of its proper divisors (47306363626827).

101222201122101 is a wasteful number, since it uses less digits than its factorization.

101222201122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226602 (or 1226599 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222201122101 its reverse (101221102222101), we get a palindrome (202443303344202).

The spelling of 101222201122101 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred one".