201103210212000 has 192 divisors, whose sum is σ = 658843777597824. Its totient is φ = 53625108326400.

The previous prime is 201103210211983. The next prime is 201103210212007. The reversal of 201103210212000 is 212012301102.

It is a super-2 number, since 2×201103210212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (201103210212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274518204 + ... + 275249796.

It is an arithmetic number, because the mean of its divisors is an integer number (3431478008322).

Almost surely, 2^{201103210212000} is an apocalyptic number.

201103210212000 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 201103210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329421888798912).

201103210212000 is an abundant number, since it is smaller than the sum of its proper divisors (457740567385824).

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

201103210212000 is a wasteful number, since it uses less digits than its factorization.

201103210212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754528 (or 754510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201103210212000 its reverse (212012301102), we get a palindrome (201315222513102).

The spelling of 201103210212000 in words is "two hundred one trillion, one hundred three billion, two hundred ten million, two hundred twelve thousand".