101094172128 has 72 divisors (see below), whose sum is σ = 287527732128. Its totient is φ = 33693230592.

The previous prime is 101094172117. The next prime is 101094172139. The reversal of 101094172128 is 821271490101.

101094172128 is a `hidden beast` number, since 10 + 10 + 9 + 417 + 212 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (101094172117) and next prime (101094172139).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101094172092 and 101094172101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2391625 + ... + 2433527.

It is an arithmetic number, because the mean of its divisors is an integer number (3993440724).

Almost surely, 2^101094172128 is an apocalyptic number.

101094172128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101094172128 is an abundant number, since it is smaller than the sum of its proper divisors (186433560000).

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

101094172128 is a wasteful number, since it uses less digits than its factorization.

101094172128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50296 (or 50285 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 101094172128 in words is "one hundred one billion, ninety-four million, one hundred seventy-two thousand, one hundred twenty-eight".