10212112000002 has 128 divisors (see below), whose sum is σ = 23263310315520. Its totient is φ = 2960523360000.

The previous prime is 10212111999977. The next prime is 10212112000007. The reversal of 10212112000002 is 20000021121201.

It is not an unprimeable number, because it can be changed into a prime (10212112000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134901999 + ... + 134977677.

It is an arithmetic number, because the mean of its divisors is an integer number (181744611840).

Almost surely, 2^{10212112000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212112000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631655157760).

10212112000002 is an abundant number, since it is smaller than the sum of its proper divisors (13051198315518).

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

10212112000002 is a wasteful number, since it uses less digits than its factorization.

10212112000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76480.

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

Adding to 10212112000002 its reverse (20000021121201), we get a palindrome (30212133121203).

The spelling of 10212112000002 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, two", and thus it is an aban number.