10121214210 has 64 divisors (see below), whose sum is σ = 25289373312. Its totient is φ = 2590050816.

The previous prime is 10121214179. The next prime is 10121214217. The reversal of 10121214210 is 1241212101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10121214210.

It is not an unprimeable number, because it can be changed into a prime (10121214217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18577 + ... + 143483.

It is an arithmetic number, because the mean of its divisors is an integer number (395146458).

Almost surely, 2^10121214210 is an apocalyptic number.

10121214210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121214210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644686656).

10121214210 is an abundant number, since it is smaller than the sum of its proper divisors (15168159102).

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

10121214210 is a wasteful number, since it uses less digits than its factorization.

10121214210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125027.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121214210 its reverse (1241212101), we get a palindrome (11362426311).

The spelling of 10121214210 in words is "ten billion, one hundred twenty-one million, two hundred fourteen thousand, two hundred ten".