21120011222100 has 288 divisors, whose sum is σ = 75198197007360. Its totient is φ = 4466456279040.

The previous prime is 21120011222099. The next prime is 21120011222119. The reversal of 21120011222100 is 122211002112.

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 21120011222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2907234 + ... + 7119833.

It is an arithmetic number, because the mean of its divisors is an integer number (261104850720).

Almost surely, 2^{21120011222100} is an apocalyptic number.

21120011222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120011222100 is an abundant number, since it is smaller than the sum of its proper divisors (54078185785260).

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

21120011222100 is a wasteful number, since it uses less digits than its factorization.

21120011222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027167 (or 10027160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21120011222100 its reverse (122211002112), we get a palindrome (21242222224212).

The spelling of 21120011222100 in words is "twenty-one trillion, one hundred twenty billion, eleven million, two hundred twenty-two thousand, one hundred".