21120929203100 has 288 divisors, whose sum is σ = 50058396057600. Its totient is φ = 7715061446400.

The previous prime is 21120929203051. The next prime is 21120929203109. The reversal of 21120929203100 is 130292902112.

It is a happy number.

It is a super-2 number, since 2×21120929203100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120929203109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645508541 + ... + 645541259.

It is an arithmetic number, because the mean of its divisors is an integer number (173813875200).

Almost surely, 2^{21120929203100} is an apocalyptic number.

21120929203100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120929203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25029198028800).

21120929203100 is an abundant number, since it is smaller than the sum of its proper divisors (28937466854500).

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

21120929203100 is a wasteful number, since it uses less digits than its factorization.

21120929203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32953 (or 32946 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 21120929203100 in words is "twenty-one trillion, one hundred twenty billion, nine hundred twenty-nine million, two hundred three thousand, one hundred".