101144123112 has 32 divisors (see below), whose sum is σ = 259027634880. Its totient is φ = 32892397440.

The previous prime is 101144123077. The next prime is 101144123131. The reversal of 101144123112 is 211321441101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51393388 + ... + 51395355.

It is an arithmetic number, because the mean of its divisors is an integer number (8094613590).

Almost surely, 2^101144123112 is an apocalyptic number.

101144123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101144123112 is an abundant number, since it is smaller than the sum of its proper divisors (157883511768).

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

101144123112 is a wasteful number, since it uses less digits than its factorization.

101144123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102788793 (or 102788789 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101144123112 its reverse (211321441101), we get a palindrome (312465564213).

The spelling of 101144123112 in words is "one hundred one billion, one hundred forty-four million, one hundred twenty-three thousand, one hundred twelve".