212120202100002 has 128 divisors (see below), whose sum is σ = 523510224230400. Its totient is φ = 55943618443776.

The previous prime is 212120202099931. The next prime is 212120202100033. The reversal of 212120202100002 is 200001202021212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6477288 + ... + 21591564.

It is an arithmetic number, because the mean of its divisors is an integer number (4089923626800).

Almost surely, 2^{212120202100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120202100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261755112115200).

212120202100002 is an abundant number, since it is smaller than the sum of its proper divisors (311390022130398).

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

212120202100002 is a wasteful number, since it uses less digits than its factorization.

212120202100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15114760.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212120202100002 its reverse (200001202021212), we get a palindrome (412121404121214).

The spelling of 212120202100002 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred two million, one hundred thousand, two".