101198138225004 has 288 divisors, whose sum is σ = 288916306660800. Its totient is φ = 29724139468800.

The previous prime is 101198138224987. The next prime is 101198138225039. The reversal of 101198138225004 is 400522831891101.

101198138225004 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 9 + 8 + 138 + 2 + 2 + 500 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 73444534 + ... + 74809730.

It is an arithmetic number, because the mean of its divisors is an integer number (1003181620350).

Almost surely, 2^{101198138225004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101198138225004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144458153330400).

101198138225004 is an abundant number, since it is smaller than the sum of its proper divisors (187718168435796).

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

101198138225004 is a wasteful number, since it uses less digits than its factorization.

101198138225004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365393 (or 1365388 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 101198138225004 in words is "one hundred one trillion, one hundred ninety-eight billion, one hundred thirty-eight million, two hundred twenty-five thousand, four".