101010102011112 has 384 divisors, whose sum is σ = 314922984480000. Its totient is φ = 26824102502400.

The previous prime is 101010102011087. The next prime is 101010102011171. The reversal of 101010102011112 is 211110201010101.

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 95 ways as a sum of consecutive naturals, for example, 785401389 + ... + 785529987.

It is an arithmetic number, because the mean of its divisors is an integer number (820111938750).

Almost surely, 2^{101010102011112} is an apocalyptic number.

101010102011112 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 101010102011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157461492240000).

101010102011112 is an abundant number, since it is smaller than the sum of its proper divisors (213912882468888).

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

101010102011112 is a wasteful number, since it uses less digits than its factorization.

101010102011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129129 (or 129118 counting only the distinct ones).

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

Adding to 101010102011112 its reverse (211110201010101), we get a palindrome (312120303021213).

The spelling of 101010102011112 in words is "one hundred one trillion, ten billion, one hundred two million, eleven thousand, one hundred twelve".