201120111210000 has 400 divisors, whose sum is σ = 657368092624320. Its totient is φ = 52961399040000.

The previous prime is 201120111209981. The next prime is 201120111210019. The reversal of 201120111210000 is 12111021102.

201120111210000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201120111209981) and next prime (201120111210019).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5749392510 + ... + 5749427490.

Almost surely, 2^{201120111210000} is an apocalyptic number.

201120111210000 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 201120111210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328684046312160).

201120111210000 is an abundant number, since it is smaller than the sum of its proper divisors (456247981414320).

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

201120111210000 is a wasteful number, since it uses less digits than its factorization.

201120111210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37404 (or 37383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201120111210000 its reverse (12111021102), we get a palindrome (201132222231102).

The spelling of 201120111210000 in words is "two hundred one trillion, one hundred twenty billion, one hundred eleven million, two hundred ten thousand".