21201121013100 has 144 divisors (see below), whose sum is σ = 70195737685248. Its totient is φ = 4839701103360.

The previous prime is 21201121012997. The next prime is 21201121013113. The reversal of 21201121013100 is 131012110212.

It is a super-2 number, since 2×21201121013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21201121013100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4906954 + ... + 8153553.

It is an arithmetic number, because the mean of its divisors is an integer number (487470400592).

Almost surely, 2^{21201121013100} is an apocalyptic number.

21201121013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201121013100 is an abundant number, since it is smaller than the sum of its proper divisors (48994616672148).

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

21201121013100 is a wasteful number, since it uses less digits than its factorization.

21201121013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061304 (or 13061297 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21201121013100 its reverse (131012110212), we get a palindrome (21332133123312).

The spelling of 21201121013100 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-one million, thirteen thousand, one hundred".