21234130012100 has 36 divisors (see below), whose sum is σ = 48788536372884. Its totient is φ = 7994025415680.

The previous prime is 21234130012087. The next prime is 21234130012181. The reversal of 21234130012100 is 121003143212.

It can be written as a sum of positive squares in 6 ways, for example, as 2195428963204 + 19038701048896 = 1481698^2 + 4363336^2 .

It is a super-2 number, since 2×21234130012100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6245330657 + ... + 6245334056.

It is an arithmetic number, because the mean of its divisors is an integer number (1355237121469).

Almost surely, 2^{21234130012100} is an apocalyptic number.

21234130012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21234130012100 is an abundant number, since it is smaller than the sum of its proper divisors (27554406360784).

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

21234130012100 is a wasteful number, since it uses less digits than its factorization.

21234130012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490664744 (or 12490664737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21234130012100 its reverse (121003143212), we get a palindrome (21355133155312).

The spelling of 21234130012100 in words is "twenty-one trillion, two hundred thirty-four billion, one hundred thirty million, twelve thousand, one hundred".