101117748062208 has 192 divisors, whose sum is σ = 270265880102400. Its totient is φ = 33620425113600.

The previous prime is 101117748062143. The next prime is 101117748062231. The reversal of 101117748062208 is 802260847711101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6101346210 + ... + 6101362782.

It is an arithmetic number, because the mean of its divisors is an integer number (1407634792200).

Almost surely, 2^{101117748062208} 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 101117748062208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135132940051200).

101117748062208 is an abundant number, since it is smaller than the sum of its proper divisors (169148132040192).

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

101117748062208 is a wasteful number, since it uses less digits than its factorization.

101117748062208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19058 (or 19038 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 101117748062208 in words is "one hundred one trillion, one hundred seventeen billion, seven hundred forty-eight million, sixty-two thousand, two hundred eight".