21101112001100 has 36 divisors (see below), whose sum is σ = 46653364243584. Its totient is φ = 8281191122880.

The previous prime is 21101112001093. The next prime is 21101112001103. The reversal of 21101112001100 is 110021110112.

It is not an unprimeable number, because it can be changed into a prime (21101112001103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990665644 + ... + 1990676243.

It is an arithmetic number, because the mean of its divisors is an integer number (1295926784544).

Almost surely, 2^{21101112001100} is an apocalyptic number.

21101112001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101112001100 is an abundant number, since it is smaller than the sum of its proper divisors (25552252242484).

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

21101112001100 is a wasteful number, since it uses less digits than its factorization.

21101112001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981341954 (or 3981341947 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21101112001100 its reverse (110021110112), we get a palindrome (21211133111212).

The spelling of 21101112001100 in words is "twenty-one trillion, one hundred one billion, one hundred twelve million, one thousand, one hundred".