10202121212010 has 256 divisors, whose sum is σ = 30956377181184. Its totient is φ = 2093925261312.

The previous prime is 10202121211999. The next prime is 10202121212027. The reversal of 10202121212010 is 1021212120201.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 764942062 + ... + 764955398.

It is an arithmetic number, because the mean of its divisors is an integer number (120923348364).

Almost surely, 2^{10202121212010} is an apocalyptic number.

10202121212010 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 10202121212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478188590592).

10202121212010 is an abundant number, since it is smaller than the sum of its proper divisors (20754255969174).

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

10202121212010 is a wasteful number, since it uses less digits than its factorization.

10202121212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20977.

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

Adding to 10202121212010 its reverse (1021212120201), we get a palindrome (11223333332211).

The spelling of 10202121212010 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, ten".