101201000022221 has 16 divisors (see below), whose sum is σ = 115225479711360. Its totient is φ = 87982275501120.

The previous prime is 101201000022217. The next prime is 101201000022251. The reversal of 101201000022221 is 122220000102101.

It is not a de Polignac number, because 101201000022221 - 2² = 101201000022217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201000022196 and 101201000022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201000022251) 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 15 ways as a sum of consecutive naturals, for example, 41059466 + ... + 43454363.

It is an arithmetic number, because the mean of its divisors is an integer number (7201592481960).

Almost surely, 2^{101201000022221} is an apocalyptic number.

101201000022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201000022221 is a deficient number, since it is larger than the sum of its proper divisors (14024479689139).

101201000022221 is a wasteful number, since it uses less digits than its factorization.

101201000022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84518596.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101201000022221 its reverse (122220000102101), we get a palindrome (223421000124322).

The spelling of 101201000022221 in words is "one hundred one trillion, two hundred one billion, twenty-two thousand, two hundred twenty-one".