100101020112 has 120 divisors (see below), whose sum is σ = 288273431264. Its totient is φ = 32402218752.

The previous prime is 100101020087. The next prime is 100101020167. The reversal of 100101020112 is 211020101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101020094 and 100101020103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2768583 + ... + 2804505.

Almost surely, 2^100101020112 is an apocalyptic number.

100101020112 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 100101020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144136715632).

100101020112 is an abundant number, since it is smaller than the sum of its proper divisors (188172411152).

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

100101020112 is a wasteful number, since it uses less digits than its factorization.

100101020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36497 (or 36488 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101020112 its reverse (211020101001), we get a palindrome (311121121113).

The spelling of 100101020112 in words is "one hundred billion, one hundred one million, twenty thousand, one hundred twelve".