101140412144140 has 24 divisors (see below), whose sum is σ = 212396779017360. Its totient is φ = 40455800378688.

The previous prime is 101140412144081. The next prime is 101140412144159. The reversal of 101140412144140 is 41441214041101.

It is a super-3 number, since 3×101140412144140³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101140412144099 and 101140412144108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20498922 + ... + 24949681.

It is an arithmetic number, because the mean of its divisors is an integer number (8849865792390).

Almost surely, 2^{101140412144140} is an apocalyptic number.

101140412144140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101140412144140 is an abundant number, since it is smaller than the sum of its proper divisors (111256366873220).

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

101140412144140 is a wasteful number, since it uses less digits than its factorization.

101140412144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45559881 (or 45559879 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 101140412144140 its reverse (41441214041101), we get a palindrome (142581626185241).

The spelling of 101140412144140 in words is "one hundred one trillion, one hundred forty billion, four hundred twelve million, one hundred forty-four thousand, one hundred forty".