10212012221010 has 128 divisors (see below), whose sum is σ = 25293251414016. Its totient is φ = 2637537085440.

The previous prime is 10212012221009. The next prime is 10212012221011. The reversal of 10212012221010 is 1012221021201.

It is an interprime number because it is at equal distance from previous prime (10212012221009) and next prime (10212012221011).

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

It is not an unprimeable number, because it can be changed into a prime (10212012221011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81828319 + ... + 81953021.

It is an arithmetic number, because the mean of its divisors is an integer number (197603526672).

Almost surely, 2^{10212012221010} is an apocalyptic number.

10212012221010 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 10212012221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646625707008).

10212012221010 is an abundant number, since it is smaller than the sum of its proper divisors (15081239193006).

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

10212012221010 is a wasteful number, since it uses less digits than its factorization.

10212012221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125460.

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

Adding to 10212012221010 its reverse (1012221021201), we get a palindrome (11224233242211).

It can be divided in two parts, 102120 and 12221010, that added together give a triangular number (12323130 = T₄₉₆₄).

The spelling of 10212012221010 in words is "ten trillion, two hundred twelve billion, twelve million, two hundred twenty-one thousand, ten".