101823155100168 has 32 divisors (see below), whose sum is σ = 255837073128000. Its totient is φ = 33770493649728.

The previous prime is 101823155100109. The next prime is 101823155100211. The reversal of 101823155100168 is 861001551328101.

101823155100168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101823155100168² (a number of 29 digits) contains 22 as substring.

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, 10659873271 + ... + 10659882822.

It is an arithmetic number, because the mean of its divisors is an integer number (7994908535250).

Almost surely, 2^{101823155100168} is an apocalyptic number.

It is an amenable number.

101823155100168 is an abundant number, since it is smaller than the sum of its proper divisors (154013918027832).

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

101823155100168 is a wasteful number, since it uses less digits than its factorization.

101823155100168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21319756301 (or 21319756297 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 42.

The spelling of 101823155100168 in words is "one hundred one trillion, eight hundred twenty-three billion, one hundred fifty-five million, one hundred thousand, one hundred sixty-eight".