101112001221 has 48 divisors (see below), whose sum is σ = 172029469248. Its totient is φ = 52235366400.

The previous prime is 101112001201. The next prime is 101112001231. The reversal of 101112001221 is 122100211101.

It is not a de Polignac number, because 101112001221 - 2⁶ = 101112001157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112001197 and 101112001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112001201) 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, 119941 + ... + 465413.

It is an arithmetic number, because the mean of its divisors is an integer number (3583947276).

Almost surely, 2^101112001221 is an apocalyptic number.

101112001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112001221 is a deficient number, since it is larger than the sum of its proper divisors (70917468027).

101112001221 is a wasteful number, since it uses less digits than its factorization.

101112001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345682 (or 345675 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112001221 its reverse (122100211101), we get a palindrome (223212212322).

The spelling of 101112001221 in words is "one hundred one billion, one hundred twelve million, one thousand, two hundred twenty-one".