21120010001100 has 54 divisors (see below), whose sum is σ = 66199498017380. Its totient is φ = 5632002666720.

The previous prime is 21120010001081. The next prime is 21120010001119. The reversal of 21120010001100 is 110001002112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21120010001081) and next prime (21120010001119).

It is a super-3 number, since 3×21120010001100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11733337990 + ... + 11733339789.

Almost surely, 2^{21120010001100} is an apocalyptic number.

21120010001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120010001100 is an abundant number, since it is smaller than the sum of its proper divisors (45079488016280).

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

21120010001100 is a wasteful number, since it uses less digits than its factorization.

21120010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23466677799 (or 23466677789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21120010001100 its reverse (110001002112), we get a palindrome (21230011003212).

The spelling of 21120010001100 in words is "twenty-one trillion, one hundred twenty billion, ten million, one thousand, one hundred".