10212002000 has 160 divisors (see below), whose sum is σ = 27049295520. Its totient is φ = 3711590400.

The previous prime is 10212001993. The next prime is 10212002023. The reversal of 10212002000 is 20021201.

It can be written as a sum of positive squares in 16 ways, for example, as 5651430976 + 4560571024 = 75176^2 + 67532^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980822 + ... + 991178.

It is an arithmetic number, because the mean of its divisors is an integer number (169058097).

Almost surely, 2^10212002000 is an apocalyptic number.

10212002000 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 10212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524647760).

10212002000 is an abundant number, since it is smaller than the sum of its proper divisors (16837293520).

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

10212002000 is a wasteful number, since it uses less digits than its factorization.

10212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10212002000 its reverse (20021201), we get a palindrome (10232023201).

The spelling of 10212002000 in words is "ten billion, two hundred twelve million, two thousand".