102001102000112 has 160 divisors (see below), whose sum is σ = 250431152523264. Its totient is φ = 39214406246400.

The previous prime is 102001102000111. The next prime is 102001102000117. The reversal of 102001102000112 is 211000201100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001102000093 and 102001102000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001102000111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8161037 + ... + 16450067.

Almost surely, 2^{102001102000112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001102000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215576261632).

102001102000112 is an abundant number, since it is smaller than the sum of its proper divisors (148430050523152).

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

102001102000112 is a wasteful number, since it uses less digits than its factorization.

102001102000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289367 (or 8289361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001102000112 its reverse (211000201100201), we get a palindrome (313001303100313).

The spelling of 102001102000112 in words is "one hundred two trillion, one billion, one hundred two million, one hundred twelve", and thus it is an aban number.