101112112122012 has 48 divisors (see below), whose sum is σ = 263473185618720. Its totient is φ = 33532950882816.

The previous prime is 101112112122001. The next prime is 101112112122023. The reversal of 101112112122012 is 210221211211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101112112122001) and next prime (101112112122023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376179893 + ... + 2376222444.

It is an arithmetic number, because the mean of its divisors is an integer number (5489024700390).

Almost surely, 2^{101112112122012} is an apocalyptic number.

101112112122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112112122012 is an abundant number, since it is smaller than the sum of its proper divisors (162361073496708).

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

101112112122012 is a wasteful number, since it uses less digits than its factorization.

101112112122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752402547 (or 4752402539 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112112122012 its reverse (210221211211101), we get a palindrome (311333323333113).

The spelling of 101112112122012 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, twelve".