21101033130100 has 576 divisors, whose sum is σ = 59311855798272. Its totient is φ = 6326127360000.

The previous prime is 21101033130017. The next prime is 21101033130101. The reversal of 21101033130100 is 103133010112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101033130101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6587895099 + ... + 6587898301.

It is an arithmetic number, because the mean of its divisors is an integer number (102971971872).

Almost surely, 2^{21101033130100} is an apocalyptic number.

21101033130100 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 21101033130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29655927899136).

21101033130100 is an abundant number, since it is smaller than the sum of its proper divisors (38210822668172).

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

21101033130100 is a wasteful number, since it uses less digits than its factorization.

21101033130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 21101033130100 its reverse (103133010112), we get a palindrome (21204166140212).

The spelling of 21101033130100 in words is "twenty-one trillion, one hundred one billion, thirty-three million, one hundred thirty thousand, one hundred".