10101100010112 has 384 divisors, whose sum is σ = 31636735650000. Its totient is φ = 3080579973120.

The previous prime is 10101100010093. The next prime is 10101100010207. The reversal of 10101100010112 is 21101000110101.

It can be written as a sum of positive squares in 8 ways, for example, as 5157877041216 + 4943222968896 = 2271096^2 + 2223336^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 = 10101100010094 and 10101100010103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905029812 + ... + 905040972.

Almost surely, 2^{10101100010112} is an apocalyptic number.

10101100010112 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 10101100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818367825000).

10101100010112 is an abundant number, since it is smaller than the sum of its proper divisors (21535635639888).

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

10101100010112 is a wasteful number, since it uses less digits than its factorization.

10101100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12484 (or 12469 counting only the distinct ones).

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

Adding to 10101100010112 its reverse (21101000110101), we get a palindrome (31202100120213).

The spelling of 10101100010112 in words is "ten trillion, one hundred one billion, one hundred million, ten thousand, one hundred twelve".