101102020011221 has 24 divisors (see below), whose sum is σ = 107770228049664. Its totient is φ = 94823277458400.

The previous prime is 101102020011217. The next prime is 101102020011233. The reversal of 101102020011221 is 122110020201101.

It is not a de Polignac number, because 101102020011221 - 2² = 101102020011217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102020011196 and 101102020011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102020011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388653620 + ... + 388913666.

It is an arithmetic number, because the mean of its divisors is an integer number (4490426168736).

Almost surely, 2^{101102020011221} is an apocalyptic number.

It is an amenable number.

101102020011221 is a deficient number, since it is larger than the sum of its proper divisors (6668208038443).

101102020011221 is a wasteful number, since it uses less digits than its factorization.

101102020011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270849 (or 270830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102020011221 its reverse (122110020201101), we get a palindrome (223212040212322).

The spelling of 101102020011221 in words is "one hundred one trillion, one hundred two billion, twenty million, eleven thousand, two hundred twenty-one".