10102010002112 has 112 divisors (see below), whose sum is σ = 23347714259520. Its totient is φ = 4246738010112.

The previous prime is 10102010002099. The next prime is 10102010002153. The reversal of 10102010002112 is 21120001020101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 10102010002093 and 10102010002102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104639048 + ... + 104735544.

It is an arithmetic number, because the mean of its divisors is an integer number (208461734460).

Almost surely, 2^{10102010002112} 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 10102010002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11673857129760).

10102010002112 is an abundant number, since it is smaller than the sum of its proper divisors (13245704257408).

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

10102010002112 is an equidigital number, since it uses as much as digits as its factorization.

10102010002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100978 (or 100968 counting only the distinct ones).

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

Adding to 10102010002112 its reverse (21120001020101), we get a palindrome (31222011022213).

The spelling of 10102010002112 in words is "ten trillion, one hundred two billion, ten million, two thousand, one hundred twelve".