21010001012010 has 256 divisors, whose sum is σ = 58860496696320. Its totient is φ = 5322694164480.

The previous prime is 21010001011997. The next prime is 21010001012083. The reversal of 21010001012010 is 1021010001012.

It is a happy number.

It is a super-2 number, since 2×21010001012010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21010001011983 and 21010001012001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 725443930 + ... + 725472890.

It is an arithmetic number, because the mean of its divisors is an integer number (229923815220).

Almost surely, 2^{21010001012010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010001012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29430248348160).

21010001012010 is an abundant number, since it is smaller than the sum of its proper divisors (37850495684310).

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

21010001012010 is a wasteful number, since it uses less digits than its factorization.

21010001012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29790 (or 29784 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21010001012010 its reverse (1021010001012), we get a palindrome (22031011013022).

The spelling of 21010001012010 in words is "twenty-one trillion, ten billion, one million, twelve thousand, ten".