101378782017156 has 144 divisors (see below), whose sum is σ = 298997330472960. Its totient is φ = 26555683775040.

The previous prime is 101378782017109. The next prime is 101378782017157. The reversal of 101378782017156 is 651710287873101.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 101378782017096 and 101378782017105.

It is not an unprimeable number, because it can be changed into a prime (101378782017157) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 146014360 + ... + 146707023.

Almost surely, 2^{101378782017156} is an apocalyptic number.

It is an amenable number.

101378782017156 is an abundant number, since it is smaller than the sum of its proper divisors (197618548455804).

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

101378782017156 is a wasteful number, since it uses less digits than its factorization.

101378782017156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292721454 (or 292721445 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 57.

The spelling of 101378782017156 in words is "one hundred one trillion, three hundred seventy-eight billion, seven hundred eighty-two million, seventeen thousand, one hundred fifty-six".