21121112202000 has 320 divisors, whose sum is σ = 69608271642624. Its totient is φ = 5507309299200.

The previous prime is 21121112201941. The next prime is 21121112202079. The reversal of 21121112202000 is 20221112112.

It is a super-2 number, since 2×21121112202000² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306499549 + ... + 306568451.

Almost surely, 2^{21121112202000} is an apocalyptic number.

21121112202000 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 21121112202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34804135821312).

21121112202000 is an abundant number, since it is smaller than the sum of its proper divisors (48487159440624).

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

21121112202000 is a wasteful number, since it uses less digits than its factorization.

21121112202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70063 (or 70047 counting only the distinct ones).

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

Adding to 21121112202000 its reverse (20221112112), we get a palindrome (21141333314112).

The spelling of 21121112202000 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred two thousand".