10212949000 has 64 divisors (see below), whose sum is σ = 23914650240. Its totient is φ = 4082385600.

The previous prime is 10212948983. The next prime is 10212949081. The reversal of 10212949000 is 94921201.

It is a happy number.

It is a super-5 number, since 5×10212949000⁵ (a number of 51 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10212949000.

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, 2080549 + ... + 2085451.

It is an arithmetic number, because the mean of its divisors is an integer number (373666410).

Almost surely, 2^10212949000 is an apocalyptic number.

10212949000 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 10212949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957325120).

10212949000 is an abundant number, since it is smaller than the sum of its proper divisors (13701701240).

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

10212949000 is a wasteful number, since it uses less digits than its factorization.

10212949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 10212949000 in words is "ten billion, two hundred twelve million, nine hundred forty-nine thousand".