101202112 has 56 divisors (see below), whose sum is σ = 226679760. Its totient is φ = 44405760.

The previous prime is 101202107. The next prime is 101202119. The reversal of 101202112 is 211202101.

It is not an unprimeable number, because it can be changed into a prime (101202119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17938 + ... + 22894.

Almost surely, 2^101202112 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 101202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113339880).

101202112 is an abundant number, since it is smaller than the sum of its proper divisors (125477648).

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

101202112 is a wasteful number, since it uses less digits than its factorization.

101202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 4999 counting only the distinct ones).

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

The square root of 101202112 is about 10059.9260434657. The cubic root of 101202112 is about 466.0113832435.

Adding to 101202112 its reverse (211202101), we get a palindrome (312404213).

The spelling of 101202112 in words is "one hundred one million, two hundred two thousand, one hundred twelve".