101182140312 has 128 divisors (see below), whose sum is σ = 282733839360. Its totient is φ = 29911864320.

The previous prime is 101182140307. The next prime is 101182140343. The reversal of 101182140312 is 213041281101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870678 + ... + 3896730.

It is an arithmetic number, because the mean of its divisors is an integer number (2208858120).

Almost surely, 2^101182140312 is an apocalyptic number.

101182140312 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 101182140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141366919680).

101182140312 is an abundant number, since it is smaller than the sum of its proper divisors (181551699048).

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

101182140312 is a wasteful number, since it uses less digits than its factorization.

101182140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26433 (or 26429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 101182140312 in words is "one hundred one billion, one hundred eighty-two million, one hundred forty thousand, three hundred twelve".