101021200112 has 80 divisors (see below), whose sum is σ = 236952905472. Its totient is φ = 40730004480.

The previous prime is 101021200097. The next prime is 101021200123. The reversal of 101021200112 is 211002120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021200093 and 101021200102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4808543 + ... + 4829505.

Almost surely, 2^101021200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118476452736).

101021200112 is an abundant number, since it is smaller than the sum of its proper divisors (135931705360).

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

101021200112 is a wasteful number, since it uses less digits than its factorization.

101021200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23526 (or 23520 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101021200112 its reverse (211002120101), we get a palindrome (312023320213).

The spelling of 101021200112 in words is "one hundred one billion, twenty-one million, two hundred thousand, one hundred twelve".