22121010002010 has 128 divisors (see below), whose sum is σ = 55366322584320. Its totient is φ = 5652364032000.

The previous prime is 22121010001957. The next prime is 22121010002027. The reversal of 22121010002010 is 1020001012122.

It is a super-3 number, since 3×22121010002010³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13422790 + ... + 14980430.

It is an arithmetic number, because the mean of its divisors is an integer number (432549395190).

Almost surely, 2^{22121010002010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121010002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27683161292160).

22121010002010 is an abundant number, since it is smaller than the sum of its proper divisors (33245312582310).

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

22121010002010 is a wasteful number, since it uses less digits than its factorization.

22121010002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557904.

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

Adding to 22121010002010 its reverse (1020001012122), we get a palindrome (23141011014132).

The spelling of 22121010002010 in words is "twenty-two trillion, one hundred twenty-one billion, ten million, two thousand, ten".