10012002102102 has 256 divisors, whose sum is σ = 28990663188480. Its totient is φ = 2218671129600.

The previous prime is 10012002102101. The next prime is 10012002102119. The reversal of 10012002102102 is 20120120021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012002102101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3608713 + ... + 5748635.

It is an arithmetic number, because the mean of its divisors is an integer number (113244778080).

Almost surely, 2^{10012002102102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012002102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495331594240).

10012002102102 is an abundant number, since it is smaller than the sum of its proper divisors (18978661086378).

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

10012002102102 is a wasteful number, since it uses less digits than its factorization.

10012002102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140019.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012002102102 its reverse (20120120021001), we get a palindrome (30132122123103).

The spelling of 10012002102102 in words is "ten trillion, twelve billion, two million, one hundred two thousand, one hundred two".