102001101213312 has 512 divisors, whose sum is σ = 346041781286400. Its totient is φ = 28975033221120.

The previous prime is 102001101213287. The next prime is 102001101213329. The reversal of 102001101213312 is 213312101100201.

102001101213312 is a `hidden beast` number, since 1 + 0 + 200 + 1 + 10 + 121 + 331 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3106647648 + ... + 3106680480.

It is an arithmetic number, because the mean of its divisors is an integer number (675862854075).

Almost surely, 2^{102001101213312} is an apocalyptic number.

102001101213312 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 102001101213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173020890643200).

102001101213312 is an abundant number, since it is smaller than the sum of its proper divisors (244040680073088).

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

102001101213312 is a wasteful number, since it uses less digits than its factorization.

102001101213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33601 (or 33583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102001101213312 its reverse (213312101100201), we get a palindrome (315313202313513).

The spelling of 102001101213312 in words is "one hundred two trillion, one billion, one hundred one million, two hundred thirteen thousand, three hundred twelve".