1201100202000 has 120 divisors (see below), whose sum is σ = 4195042701720. Its totient is φ = 320293382400.

The previous prime is 1201100201929. The next prime is 1201100202023. The reversal of 1201100202000 is 2020011021.

It can be written as a sum of positive squares in 4 ways, for example, as 179925278976 + 1021174923024 = 424176^2 + 1010532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33345895 + ... + 33381894.

It is an arithmetic number, because the mean of its divisors is an integer number (34958689181).

Almost surely, 2^{1201100202000} is an apocalyptic number.

1201100202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201100202000 is an abundant number, since it is smaller than the sum of its proper divisors (2993942499720).

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

1201100202000 is a wasteful number, since it uses less digits than its factorization.

1201100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66727818 (or 66727799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1201100202000 its reverse (2020011021), we get a palindrome (1203120213021).

The spelling of 1201100202000 in words is "one trillion, two hundred one billion, one hundred million, two hundred two thousand".