101221022001 has 32 divisors (see below), whose sum is σ = 152669877120. Its totient is φ = 59089766400.

The previous prime is 101221021981. The next prime is 101221022011. The reversal of 101221022001 is 100220122101.

It is not a de Polignac number, because 101221022001 - 2⁵ = 101221021969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101221022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277281 + ... + 528513.

It is an arithmetic number, because the mean of its divisors is an integer number (4770933660).

Almost surely, 2^101221022001 is an apocalyptic number.

101221022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221022001 is a deficient number, since it is larger than the sum of its proper divisors (51448855119).

101221022001 is a wasteful number, since it uses less digits than its factorization.

101221022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251697.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101221022001 its reverse (100220122101), we get a palindrome (201441144102).

The spelling of 101221022001 in words is "one hundred one billion, two hundred twenty-one million, twenty-two thousand, one".