101011010112 has 84 divisors (see below), whose sum is σ = 289846390080. Its totient is φ = 33633522432.

The previous prime is 101011010077. The next prime is 101011010119. The reversal of 101011010112 is 211010110101.

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 = 101011010094 and 101011010103.

It is not an unprimeable number, because it can be changed into a prime (101011010119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433933 + ... + 624755.

Almost surely, 2^101011010112 is an apocalyptic number.

101011010112 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 101011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144923195040).

101011010112 is an abundant number, since it is smaller than the sum of its proper divisors (188835379968).

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

101011010112 is a wasteful number, since it uses less digits than its factorization.

101011010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191760 (or 191747 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011010112 its reverse (211010110101), we get a palindrome (312021120213).

The spelling of 101011010112 in words is "one hundred one billion, eleven million, ten thousand, one hundred twelve".