101222022221001 has 160 divisors (see below), whose sum is σ = 168050381875200. Its totient is φ = 60205540187520.

The previous prime is 101222022220997. The next prime is 101222022221017. The reversal of 101222022221001 is 100122220222101.

It is a happy number.

101222022221001 is a `hidden beast` number, since 1 + 0 + 12 + 220 + 222 + 210 + 0 + 1 = 666.

101222022221001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101222022221001 - 2² = 101222022220997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222022211001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10529696871 + ... + 10529706483.

It is an arithmetic number, because the mean of its divisors is an integer number (1050314886720).

Almost surely, 2^{101222022221001} is an apocalyptic number.

101222022221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222022221001 is a deficient number, since it is larger than the sum of its proper divisors (66828359654199).

101222022221001 is a wasteful number, since it uses less digits than its factorization.

101222022221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222022221001 its reverse (100122220222101), we get a palindrome (201344242443102).

The spelling of 101222022221001 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty-one thousand, one".