101109971623248 has 200 divisors, whose sum is σ = 341563440421632. Its totient is φ = 28273912918272.

The previous prime is 101109971623229. The next prime is 101109971623289. The reversal of 101109971623248 is 842326179901101.

101109971623248 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 9 + 9 + 7 + 1 + 623 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101109971623194 and 101109971623203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118140415 + ... + 118993182.

Almost surely, 2^{101109971623248} is an apocalyptic number.

101109971623248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101109971623248 is an abundant number, since it is smaller than the sum of its proper divisors (240453468798384).

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

101109971623248 is a wasteful number, since it uses less digits than its factorization.

101109971623248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237133671 (or 237133656 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 101109971623248 in words is "one hundred one trillion, one hundred nine billion, nine hundred seventy-one million, six hundred twenty-three thousand, two hundred forty-eight".