10010212000 has 96 divisors (see below), whose sum is σ = 26042037840. Its totient is φ = 3768524800.

The previous prime is 10010211923. The next prime is 10010212013. The reversal of 10010212000 is 21201001.

It can be written as a sum of positive squares in 8 ways, for example, as 3021920784 + 6988291216 = 54972^2 + 83596^2 .

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, 5605 + ... + 141604.

Almost surely, 2^10010212000 is an apocalyptic number.

10010212000 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 10010212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13021018920).

10010212000 is an abundant number, since it is smaller than the sum of its proper divisors (16031825840).

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

10010212000 is a wasteful number, since it uses less digits than its factorization.

10010212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147251 (or 147233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10010212000 its reverse (21201001), we get a palindrome (10031413001).

The spelling of 10010212000 in words is "ten billion, ten million, two hundred twelve thousand".