10010010012102 has 96 divisors (see below), whose sum is σ = 23060964326400. Its totient is φ = 3132578909376.

The previous prime is 10010010012061. The next prime is 10010010012109. The reversal of 10010010012102 is 20121001001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010010012109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4005549 + ... + 6005367.

It is an arithmetic number, because the mean of its divisors is an integer number (240218378400).

Almost surely, 2^{10010010012102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010010012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530482163200).

10010010012102 is an abundant number, since it is smaller than the sum of its proper divisors (13050954314298).

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

10010010012102 is a wasteful number, since it uses less digits than its factorization.

10010010012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000122 (or 2000119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010010012102 its reverse (20121001001001), we get a palindrome (30131011013103).

The spelling of 10010010012102 in words is "ten trillion, ten billion, ten million, twelve thousand, one hundred two".