101095388040192 has 2112 divisors, whose sum is σ = 366046335857664. Its totient is φ = 24188257566720.

The previous prime is 101095388040167. The next prime is 101095388040239. The reversal of 101095388040192 is 291040883590101.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 271033211718 + ... + 271033212090.

It is an arithmetic number, because the mean of its divisors is an integer number (173317393872).

Almost surely, 2^{101095388040192} is an apocalyptic number.

101095388040192 is a gapful number since it is divisible by the number (12) 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 101095388040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183023167928832).

101095388040192 is an abundant number, since it is smaller than the sum of its proper divisors (264950947817472).

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

101095388040192 is a wasteful number, since it uses less digits than its factorization.

101095388040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 101095388040192 in words is "one hundred one trillion, ninety-five billion, three hundred eighty-eight million, forty thousand, one hundred ninety-two".