101104012011312 has 200 divisors, whose sum is σ = 293508686116800. Its totient is φ = 33599518709760.

The previous prime is 101104012011259. The next prime is 101104012011377. The reversal of 101104012011312 is 213110210401101.

101104012011312 is a `hidden beast` number, since 1 + 0 + 110 + 40 + 1 + 201 + 1 + 312 = 666.

It is a super-2 number, since 2×101104012011312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3813361768 + ... + 3813388280.

It is an arithmetic number, because the mean of its divisors is an integer number (1467543430584).

Almost surely, 2^{101104012011312} is an apocalyptic number.

101104012011312 is a gapful number since it is divisible by the number (12) 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 101104012011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146754343058400).

101104012011312 is an abundant number, since it is smaller than the sum of its proper divisors (192404674105488).

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

101104012011312 is a wasteful number, since it uses less digits than its factorization.

101104012011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35313 (or 35298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101104012011312 its reverse (213110210401101), we get a palindrome (314214222412413).

The spelling of 101104012011312 in words is "one hundred one trillion, one hundred four billion, twelve million, eleven thousand, three hundred twelve".