1221101102112 has 96 divisors (see below), whose sum is σ = 3253702193280. Its totient is φ = 400910039040.

The previous prime is 1221101102101. The next prime is 1221101102119. The reversal of 1221101102112 is 2112011011221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1221101102091 and 1221101102100.

It is not an unprimeable number, because it can be changed into a prime (1221101102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6954214 + ... + 7127642.

It is an arithmetic number, because the mean of its divisors is an integer number (33892731180).

Almost surely, 2^{1221101102112} is an apocalyptic number.

1221101102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221101102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626851096640).

1221101102112 is an abundant number, since it is smaller than the sum of its proper divisors (2032601091168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221101102112 is a wasteful number, since it uses less digits than its factorization.

1221101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174546 (or 174538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1221101102112 its reverse (2112011011221), we get a palindrome (3333112113333).

The spelling of 1221101102112 in words is "one trillion, two hundred twenty-one billion, one hundred one million, one hundred two thousand, one hundred twelve".