210011120000000 has 352 divisors, whose sum is σ = 572478866481600. Its totient is φ = 76367360000000.

The previous prime is 210011119999979. The next prime is 210011120000021. The reversal of 210011120000000 is 21110012.

It is an interprime number because it is at equal distance from previous prime (210011119999979) and next prime (210011120000021).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879880676 + ... + 880119324.

Almost surely, 2^{210011120000000} is an apocalyptic number.

210011120000000 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 210011120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286239433240800).

210011120000000 is an abundant number, since it is smaller than the sum of its proper divisors (362467746481600).

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

210011120000000 is an frugal number, since it uses more digits than its factorization.

210011120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238715 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210011120000000 its reverse (21110012), we get a palindrome (210011141110012).

The spelling of 210011120000000 in words is "two hundred ten trillion, eleven billion, one hundred twenty million", and thus it is an aban number.