101021202200112 has 80 divisors (see below), whose sum is σ = 263447682138240. Its totient is φ = 33354596330496.

The previous prime is 101021202200071. The next prime is 101021202200129. The reversal of 101021202200112 is 211002202120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021202200091 and 101021202200100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666823 + ... + 14462169.

It is an arithmetic number, because the mean of its divisors is an integer number (3293096026728).

Almost surely, 2^{101021202200112} is an apocalyptic number.

101021202200112 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 101021202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131723841069120).

101021202200112 is an abundant number, since it is smaller than the sum of its proper divisors (162426479938128).

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

101021202200112 is a wasteful number, since it uses less digits than its factorization.

101021202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797050 (or 11797044 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101021202200112 its reverse (211002202120101), we get a palindrome (312023404320213).

The spelling of 101021202200112 in words is "one hundred one trillion, twenty-one billion, two hundred two million, two hundred thousand, one hundred twelve".