101166702802038 has 128 divisors (see below), whose sum is σ = 229767829632000. Its totient is φ = 32983287906816.

The previous prime is 101166702802037. The next prime is 101166702802051. The reversal of 101166702802038 is 830208207661101.

101166702802038 is a `hidden beast` number, since 1 + 0 + 1 + 166 + 7 + 0 + 280 + 203 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101166702801984 and 101166702802002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101166702802037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6156305470 + ... + 6156321902.

It is an arithmetic number, because the mean of its divisors is an integer number (1795061169000).

Almost surely, 2^{101166702802038} is an apocalyptic number.

101166702802038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101166702802038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114883914816000).

101166702802038 is an abundant number, since it is smaller than the sum of its proper divisors (128601126829962).

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

101166702802038 is a wasteful number, since it uses less digits than its factorization.

101166702802038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23043 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 101166702802038 in words is "one hundred one trillion, one hundred sixty-six billion, seven hundred two million, eight hundred two thousand, thirty-eight".