10101110012112 has 120 divisors (see below), whose sum is σ = 30382049564256. Its totient is φ = 2883446947584.

The previous prime is 10101110012101. The next prime is 10101110012141. The reversal of 10101110012112 is 21121001110101.

10101110012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 704763 + ... + 4549605.

Almost surely, 2^{10101110012112} is an apocalyptic number.

10101110012112 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 10101110012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191024782128).

10101110012112 is an abundant number, since it is smaller than the sum of its proper divisors (20280939552144).

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

10101110012112 is a wasteful number, since it uses less digits than its factorization.

10101110012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845985 (or 3845972 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10101110012112 its reverse (21121001110101), we get a palindrome (31222111122213).

The spelling of 10101110012112 in words is "ten trillion, one hundred one billion, one hundred ten million, twelve thousand, one hundred twelve".