101021022221001 has 32 divisors (see below), whose sum is σ = 135086774163840. Its totient is φ = 67151692646400.

The previous prime is 101021022220903. The next prime is 101021022221029. The reversal of 101021022221001 is 100122220120101.

It is not a de Polignac number, because 101021022221001 - 2¹¹ = 101021022218953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101021022261001) 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 31 ways as a sum of consecutive naturals, for example, 3427563801 + ... + 3427593273.

It is an arithmetic number, because the mean of its divisors is an integer number (4221461692620).

Almost surely, 2^{101021022221001} is an apocalyptic number.

It is an amenable number.

101021022221001 is a deficient number, since it is larger than the sum of its proper divisors (34065751942839).

101021022221001 is a wasteful number, since it uses less digits than its factorization.

101021022221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32617.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101021022221001 its reverse (100122220120101), we get a palindrome (201143242341102).

The spelling of 101021022221001 in words is "one hundred one trillion, twenty-one billion, twenty-two million, two hundred twenty-one thousand, one".