21141100014100 has 288 divisors, whose sum is σ = 51484624773120. Its totient is φ = 7468810944000.

The previous prime is 21141100013947. The next prime is 21141100014101. The reversal of 21141100014100 is 141000114112.

21141100014100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21141100014100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141100014101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14691521181 + ... + 14691522619.

It is an arithmetic number, because the mean of its divisors is an integer number (178766058240).

Almost surely, 2^{21141100014100} is an apocalyptic number.

21141100014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21141100014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25742312386560).

21141100014100 is an abundant number, since it is smaller than the sum of its proper divisors (30343524759020).

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

21141100014100 is a wasteful number, since it uses less digits than its factorization.

21141100014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21141100014100 its reverse (141000114112), we get a palindrome (21282100128212).

The spelling of 21141100014100 in words is "twenty-one trillion, one hundred forty-one billion, one hundred million, fourteen thousand, one hundred".