10101012110112 has 144 divisors (see below), whose sum is σ = 33648176876832. Its totient is φ = 2623639495680.

The previous prime is 10101012110027. The next prime is 10101012110141. The reversal of 10101012110112 is 21101121010101.

10101012110112 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97553893 + ... + 97657380.

It is an arithmetic number, because the mean of its divisors is an integer number (233667894978).

Almost surely, 2^{10101012110112} is an apocalyptic number.

10101012110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101012110112 is an abundant number, since it is smaller than the sum of its proper divisors (23547164766720).

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

10101012110112 is a wasteful number, since it uses less digits than its factorization.

10101012110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195211311 (or 195211296 counting only the distinct ones).

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

Adding to 10101012110112 its reverse (21101121010101), we get a palindrome (31202133120213).

It can be divided in two parts, 1010101 and 2110112, that multiplied together give a palindrome (2131426241312).

The spelling of 10101012110112 in words is "ten trillion, one hundred one billion, twelve million, one hundred ten thousand, one hundred twelve".