21002122022112 has 144 divisors (see below), whose sum is σ = 74462069066112. Its totient is φ = 5455096623360.

The previous prime is 21002122022087. The next prime is 21002122022117. The reversal of 21002122022112 is 21122022120012.

It is a happy number.

21002122022112 is a `hidden beast` number, since 210 + 0 + 2 + 1 + 220 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002122022117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473510518 + ... + 473554869.

It is an arithmetic number, because the mean of its divisors is an integer number (517097701848).

Almost surely, 2^{21002122022112} is an apocalyptic number.

21002122022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21002122022112 is an abundant number, since it is smaller than the sum of its proper divisors (53459947044000).

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

21002122022112 is a wasteful number, since it uses less digits than its factorization.

21002122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947065421 (or 947065410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21002122022112 its reverse (21122022120012), we get a palindrome (42124144142124).

The spelling of 21002122022112 in words is "twenty-one trillion, two billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".