101683250029144 has 16 divisors (see below), whose sum is σ = 217892678634000. Its totient is φ = 43578535726752.

The previous prime is 101683250029129. The next prime is 101683250029171. The reversal of 101683250029144 is 441920052386101.

It is a junction number, because it is equal to n+sod(n) for n = 101683250029094 and 101683250029103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 907886160919 + ... + 907886161030.

It is an arithmetic number, because the mean of its divisors is an integer number (13618292414625).

Almost surely, 2^{101683250029144} is an apocalyptic number.

101683250029144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101683250029144 is an abundant number, since it is smaller than the sum of its proper divisors (116209428604856).

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

101683250029144 is a wasteful number, since it uses less digits than its factorization.

101683250029144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815772321962 (or 1815772321958 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 101683250029144 in words is "one hundred one trillion, six hundred eighty-three billion, two hundred fifty million, twenty-nine thousand, one hundred forty-four".