21100041141200 has 120 divisors (see below), whose sum is σ = 57964670642688. Its totient is φ = 7230555440640.

The previous prime is 21100041141167. The next prime is 21100041141307. The reversal of 21100041141200 is 214114000112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3463169 + ... + 7361631.

Almost surely, 2^{21100041141200} is an apocalyptic number.

21100041141200 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 21100041141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28982335321344).

21100041141200 is an abundant number, since it is smaller than the sum of its proper divisors (36864629501488).

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

21100041141200 is a wasteful number, since it uses less digits than its factorization.

21100041141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900421 (or 3900410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21100041141200 its reverse (214114000112), we get a palindrome (21314155141312).

The spelling of 21100041141200 in words is "twenty-one trillion, one hundred billion, forty-one million, one hundred forty-one thousand, two hundred".