21211010220010 has 128 divisors (see below), whose sum is σ = 43664074622784. Its totient is φ = 7349289615360.

The previous prime is 21211010219969. The next prime is 21211010220011. The reversal of 21211010220010 is 1002201011212.

It can be written as a sum of positive squares in 32 ways, for example, as 593298927081 + 20617711292929 = 770259^2 + 4540673^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (21211010220011) 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, 2948836974 + ... + 2948844166.

Almost surely, 2^{21211010220010} is an apocalyptic number.

21211010220010 is an abundant number, since it is smaller than the sum of its proper divisors (22453064402774).

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

21211010220010 is a wasteful number, since it uses less digits than its factorization.

21211010220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21211010220010 its reverse (1002201011212), we get a palindrome (22213211231222).

The spelling of 21211010220010 in words is "twenty-one trillion, two hundred eleven billion, ten million, two hundred twenty thousand, ten".