101098836911160 has 2048 divisors, whose sum is σ = 396455938560000. Its totient is φ = 22684401008640.

The previous prime is 101098836911141. The next prime is 101098836911161. The reversal of 101098836911160 is 61119638890101.

It is a happy number.

101098836911160 is a `hidden beast` number, since 1 + 0 + 109 + 8 + 8 + 369 + 11 + 160 = 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 = 101098836911097 and 101098836911106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101098836911161) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 221222837652 + ... + 221222838108.

It is an arithmetic number, because the mean of its divisors is an integer number (193582001250).

Almost surely, 2^{101098836911160} is an apocalyptic number.

101098836911160 is a gapful number since it is divisible by the number (10) 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 101098836911160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198227969280000).

101098836911160 is an abundant number, since it is smaller than the sum of its proper divisors (295357101648840).

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

101098836911160 is a wasteful number, since it uses less digits than its factorization.

101098836911160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 101098836911160 in words is "one hundred one trillion, ninety-eight billion, eight hundred thirty-six million, nine hundred eleven thousand, one hundred sixty".