101113211221 has 48 divisors (see below), whose sum is σ = 120342067200. Its totient is φ = 84018060000.

The previous prime is 101113211191. The next prime is 101113211231. The reversal of 101113211221 is 122112311101.

It is a happy number.

It is not a de Polignac number, because 101113211221 - 2³¹ = 98965727573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101113211195 and 101113211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113211231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96206146 + ... + 96207196.

It is an arithmetic number, because the mean of its divisors is an integer number (2507126400).

Almost surely, 2^101113211221 is an apocalyptic number.

101113211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101113211221 is a deficient number, since it is larger than the sum of its proper divisors (19228855979).

101113211221 is a wasteful number, since it uses less digits than its factorization.

101113211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101113211221 its reverse (122112311101), we get a palindrome (223225522322).

The spelling of 101113211221 in words is "one hundred one billion, one hundred thirteen million, two hundred eleven thousand, two hundred twenty-one".