10221002120010 has 32 divisors (see below), whose sum is σ = 26760441915072. Its totient is φ = 2477818695680.

The previous prime is 10221002119921. The next prime is 10221002120027. The reversal of 10221002120010 is 1002120012201.

10221002120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10221002120010³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15486366519 + ... + 15486367178.

It is an arithmetic number, because the mean of its divisors is an integer number (836263809846).

Almost surely, 2^{10221002120010} is an apocalyptic number.

10221002120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221002120010 is an abundant number, since it is smaller than the sum of its proper divisors (16539439795062).

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

10221002120010 is a wasteful number, since it uses less digits than its factorization.

10221002120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30972733718.

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

Adding to 10221002120010 its reverse (1002120012201), we get a palindrome (11223122132211).

The spelling of 10221002120010 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred twenty thousand, ten".