21201101011100 has 72 divisors (see below), whose sum is σ = 46258321309200. Its totient is φ = 8434111795200.

The previous prime is 21201101010983. The next prime is 21201101011127. The reversal of 21201101011100 is 111010110212.

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, 14669756 + ... + 16050044.

It is an arithmetic number, because the mean of its divisors is an integer number (642476684850).

Almost surely, 2^{21201101011100} is an apocalyptic number.

21201101011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201101011100 is an abundant number, since it is smaller than the sum of its proper divisors (25057220298100).

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

21201101011100 is a wasteful number, since it uses less digits than its factorization.

21201101011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381143 (or 1381136 counting only the distinct ones).

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

Adding to 21201101011100 its reverse (111010110212), we get a palindrome (21312111121312).

The spelling of 21201101011100 in words is "twenty-one trillion, two hundred one billion, one hundred one million, eleven thousand, one hundred".