21102121011200 has 288 divisors, whose sum is σ = 52952492698560. Its totient is φ = 8339251200000.

The previous prime is 21102121011173. The next prime is 21102121011271. The reversal of 21102121011200 is 211012120112.

21102121011200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21102121011200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539055045 + ... + 2539063355.

It is an arithmetic number, because the mean of its divisors is an integer number (183862821870).

Almost surely, 2^{21102121011200} is an apocalyptic number.

21102121011200 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 21102121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26476246349280).

21102121011200 is an abundant number, since it is smaller than the sum of its proper divisors (31850371687360).

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

21102121011200 is a wasteful number, since it uses less digits than its factorization.

21102121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21102121011200 its reverse (211012120112), we get a palindrome (21313133131312).

The spelling of 21102121011200 in words is "twenty-one trillion, one hundred two billion, one hundred twenty-one million, eleven thousand, two hundred".