101222211221001 has 64 divisors (see below), whose sum is σ = 163333383216640. Its totient is φ = 61583176627200.

The previous prime is 101222211220981. The next prime is 101222211221017. The reversal of 101222211221001 is 100122112222101.

101222211221001 is a `hidden beast` number, since 10 + 1 + 222 + 211 + 221 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 101222211221001 - 2⁹ = 101222211220489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222251221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19398645 + ... + 24057261.

It is an arithmetic number, because the mean of its divisors is an integer number (2552084112760).

Almost surely, 2^{101222211221001} is an apocalyptic number.

It is an amenable number.

101222211221001 is a deficient number, since it is larger than the sum of its proper divisors (62111171995639).

101222211221001 is a wasteful number, since it uses less digits than its factorization.

101222211221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659343 (or 4659337 counting only the distinct ones).

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

Adding to 101222211221001 its reverse (100122112222101), we get a palindrome (201344323443102).

The spelling of 101222211221001 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one".