101923194149120 has 144 divisors (see below), whose sum is σ = 248031290430000. Its totient is φ = 40124130361344.

The previous prime is 101923194149071. The next prime is 101923194149159. The reversal of 101923194149120 is 21941491329101.

101923194149120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2071619033344 + 99851575115776 = 1439312^2 + 9992576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18337046 + ... + 23239914.

It is an arithmetic number, because the mean of its divisors is an integer number (1722439516875).

Almost surely, 2^{101923194149120} is an apocalyptic number.

101923194149120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101923194149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124015645215000).

101923194149120 is an abundant number, since it is smaller than the sum of its proper divisors (146108096280880).

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

101923194149120 is a wasteful number, since it uses less digits than its factorization.

101923194149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903148 (or 4903134 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 47.

The spelling of 101923194149120 in words is "one hundred one trillion, nine hundred twenty-three billion, one hundred ninety-four million, one hundred forty-nine thousand, one hundred twenty".