102101210001112 has 160 divisors (see below), whose sum is σ = 226456379604000. Its totient is φ = 43146058378752.

The previous prime is 102101210001031. The next prime is 102101210001113. The reversal of 102101210001112 is 211100012101201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102101210001092 and 102101210001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101210001113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6378527013 + ... + 6378543019.

It is an arithmetic number, because the mean of its divisors is an integer number (1415352372525).

Almost surely, 2^{102101210001112} 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 102101210001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113228189802000).

102101210001112 is an abundant number, since it is smaller than the sum of its proper divisors (124355169602888).

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

102101210001112 is an equidigital number, since it uses as much as digits as its factorization.

102101210001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20663 (or 20638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101210001112 its reverse (211100012101201), we get a palindrome (313201222102313).

The spelling of 102101210001112 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, one thousand, one hundred twelve".