101498982875136 has 2520 divisors, whose sum is σ = 390210029404160. Its totient is φ = 25824700661760.

The previous prime is 101498982875077. The next prime is 101498982875161. The reversal of 101498982875136 is 631578289894101.

It is a happy number.

101498982875136 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 89 + 8 + 28 + 7 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 799204589505 + ... + 799204589631.

It is a 1-persistent number, because it is pandigital, but 2⋅101498982875136 = 202997965750272 is not.

Almost surely, 2^{101498982875136} is an apocalyptic number.

101498982875136 is a gapful number since it is divisible by the number (16) 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 101498982875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195105014702080).

101498982875136 is an abundant number, since it is smaller than the sum of its proper divisors (288711046529024).

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

101498982875136 is an frugal number, since it uses more digits than its factorization.

101498982875136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 101498982875136 in words is "one hundred one trillion, four hundred ninety-eight billion, nine hundred eighty-two million, eight hundred seventy-five thousand, one hundred thirty-six".