21001214004100 has 108 divisors (see below), whose sum is σ = 50372084574000. Its totient is φ = 7594140593600.

The previous prime is 21001214004083. The next prime is 21001214004109. The reversal of 21001214004100 is 140041210012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21001214004109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2682250 + ... + 7014049.

It is an arithmetic number, because the mean of its divisors is an integer number (466408190500).

Almost surely, 2^{21001214004100} is an apocalyptic number.

21001214004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001214004100 is an abundant number, since it is smaller than the sum of its proper divisors (29370870569900).

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

21001214004100 is a wasteful number, since it uses less digits than its factorization.

21001214004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696514 (or 9696496 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21001214004100 its reverse (140041210012), we get a palindrome (21141255214112).

The spelling of 21001214004100 in words is "twenty-one trillion, one billion, two hundred fourteen million, four thousand, one hundred".