10021012122210 has 256 divisors, whose sum is σ = 25021564968960. Its totient is φ = 2566826496000.

The previous prime is 10021012122119. The next prime is 10021012122211. The reversal of 10021012122210 is 1222121012001.

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 10021012122210.

It is not an unprimeable number, because it can be changed into a prime (10021012122211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14502187965 + ... + 14502188655.

It is an arithmetic number, because the mean of its divisors is an integer number (97740488160).

Almost surely, 2^{10021012122210} is an apocalyptic number.

10021012122210 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 10021012122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510782484480).

10021012122210 is an abundant number, since it is smaller than the sum of its proper divisors (15000552846750).

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

10021012122210 is a wasteful number, since it uses less digits than its factorization.

10021012122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465.

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

Adding to 10021012122210 its reverse (1222121012001), we get a palindrome (11243133134211).

The spelling of 10021012122210 in words is "ten trillion, twenty-one billion, twelve million, one hundred twenty-two thousand, two hundred ten".