202122100000002 has 256 divisors, whose sum is σ = 535132923494400. Its totient is φ = 49401592485120.

The previous prime is 202122100000001. The next prime is 202122100000013. The reversal of 202122100000002 is 200000001221202.

It is not an unprimeable number, because it can be changed into a prime (202122100000001) 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, 964812127 + ... + 965021597.

It is an arithmetic number, because the mean of its divisors is an integer number (2090362982400).

Almost surely, 2^{202122100000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122100000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267566461747200).

202122100000002 is an abundant number, since it is smaller than the sum of its proper divisors (333010823494398).

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

202122100000002 is a wasteful number, since it uses less digits than its factorization.

202122100000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211541.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202122100000002 its reverse (200000001221202), we get a palindrome (402122101221204).

The spelling of 202122100000002 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred million, two", and thus it is an aban number.