201100212200000 has 84 divisors (see below), whose sum is σ = 498790867817844. Its totient is φ = 80440084800000.

The previous prime is 201100212199973. The next prime is 201100212200009. The reversal of 201100212200000 is 2212001102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 151574312648704 + 49525899551296 = 12311552^2 + 7037464^2 .

It is not an unprimeable number, because it can be changed into a prime (201100212200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502550531 + ... + 502950530.

It is an arithmetic number, because the mean of its divisors is an integer number (5937986521641).

Almost surely, 2^{201100212200000} is an apocalyptic number.

201100212200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100212200000 is an abundant number, since it is smaller than the sum of its proper divisors (297690655617844).

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

201100212200000 is an frugal number, since it uses more digits than its factorization.

201100212200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005501098 (or 1005501068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201100212200000 its reverse (2212001102), we get a palindrome (201102424201102).

The spelling of 201100212200000 in words is "two hundred one trillion, one hundred billion, two hundred twelve million, two hundred thousand".