10002122021200 has 180 divisors, whose sum is σ = 25383101217948. Its totient is φ = 3787035494400.

The previous prime is 10002122021153. The next prime is 10002122021263. The reversal of 10002122021200 is 212022120001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 805750388496 + 9196371632704 = 897636^2 + 3032552^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 172240170 + ... + 172298230.

Almost surely, 2^{10002122021200} is an apocalyptic number.

10002122021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002122021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691550608974).

10002122021200 is an abundant number, since it is smaller than the sum of its proper divisors (15380979196748).

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

10002122021200 is a wasteful number, since it uses less digits than its factorization.

10002122021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59310 (or 59280 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002122021200 its reverse (212022120001), we get a palindrome (10214144141201).

The spelling of 10002122021200 in words is "ten trillion, two billion, one hundred twenty-two million, twenty-one thousand, two hundred".