101002010112 has 240 divisors, whose sum is σ = 309928832928. Its totient is φ = 31594168320.

The previous prime is 101002010099. The next prime is 101002010119. The reversal of 101002010112 is 211010200101.

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 = 101002010094 and 101002010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002010119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5608162 + ... + 5626142.

Almost surely, 2^101002010112 is an apocalyptic number.

101002010112 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 101002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154964416464).

101002010112 is an abundant number, since it is smaller than the sum of its proper divisors (208926822816).

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

101002010112 is a wasteful number, since it uses less digits than its factorization.

101002010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18081 (or 18062 counting only the distinct ones).

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

Adding to 101002010112 its reverse (211010200101), we get a palindrome (312012210213).

The spelling of 101002010112 in words is "one hundred one billion, two million, ten thousand, one hundred twelve".