101020200112 has 80 divisors (see below), whose sum is σ = 211758946560. Its totient is φ = 46409262336.

The previous prime is 101020200109. The next prime is 101020200119. The reversal of 101020200112 is 211002020101.

It is not an unprimeable number, because it can be changed into a prime (101020200119) 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, 66328983 + ... + 66330505.

It is an arithmetic number, because the mean of its divisors is an integer number (2646986832).

Almost surely, 2^101020200112 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 101020200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105879473280).

101020200112 is an abundant number, since it is smaller than the sum of its proper divisors (110738746448).

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

101020200112 is a wasteful number, since it uses less digits than its factorization.

101020200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020200112 its reverse (211002020101), we get a palindrome (312022220213).

The spelling of 101020200112 in words is "one hundred one billion, twenty million, two hundred thousand, one hundred twelve".