21120000101010 has 96 divisors (see below), whose sum is σ = 55452878103168. Its totient is φ = 5576540670720.

The previous prime is 21120000100951. The next prime is 21120000101063. The reversal of 21120000101010 is 1010100002112.

It is a happy number.

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 = 21120000100983 and 21120000101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67710069 + ... + 68021271.

It is an arithmetic number, because the mean of its divisors is an integer number (577634146908).

Almost surely, 2^{21120000101010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120000101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27726439051584).

21120000101010 is an abundant number, since it is smaller than the sum of its proper divisors (34332878002158).

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

21120000101010 is a wasteful number, since it uses less digits than its factorization.

21120000101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318640 (or 318637 counting only the distinct ones).

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

Adding to 21120000101010 its reverse (1010100002112), we get a palindrome (22130100103122).

The spelling of 21120000101010 in words is "twenty-one trillion, one hundred twenty billion, one hundred one thousand, ten".