10212222002000 has 160 divisors (see below), whose sum is σ = 25173967182624. Its totient is φ = 4005441024000.

The previous prime is 10212222001999. The next prime is 10212222002009. The reversal of 10212222002000 is 20022221201.

It can be written as a sum of positive squares in 16 ways, for example, as 9606801066256 + 605420935744 = 3099484^2 + 778088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212222002009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 184518332 + ... + 184573668.

Almost surely, 2^{10212222002000} is an apocalyptic number.

10212222002000 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 10212222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12586983591312).

10212222002000 is an abundant number, since it is smaller than the sum of its proper divisors (14961745180624).

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

10212222002000 is a wasteful number, since it uses less digits than its factorization.

10212222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57154 (or 57138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10212222002000 its reverse (20022221201), we get a palindrome (10232244223201).

The spelling of 10212222002000 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, two thousand".