101111010110112 has 72 divisors (see below), whose sum is σ = 272783694266496. Its totient is φ = 32792759993088.

The previous prime is 101111010110081. The next prime is 101111010110137. The reversal of 101111010110112 is 211011010111101.

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 11 ways as a sum of consecutive naturals, for example, 384543408 + ... + 384806255.

It is an arithmetic number, because the mean of its divisors is an integer number (3788662420368).

Almost surely, 2^{101111010110112} is an apocalyptic number.

101111010110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101111010110112 is an abundant number, since it is smaller than the sum of its proper divisors (171672684156384).

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

101111010110112 is an equidigital number, since it uses as much as digits as its factorization.

101111010110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769349750 (or 769349705 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101111010110112 its reverse (211011010111101), we get a palindrome (312122020221213).

The spelling of 101111010110112 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred twelve".