1201610210000 has 100 divisors (see below), whose sum is σ = 2910939179412. Its totient is φ = 480359808000.

The previous prime is 1201610209997. The next prime is 1201610210011. The reversal of 1201610210000 is 120161021.

It can be written as a sum of positive squares in 10 ways, for example, as 944496309904 + 257113900096 = 971852^2 + 507064^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17295332 + ... + 17364668.

Almost surely, 2^{1201610210000} is an apocalyptic number.

1201610210000 is a gapful number since it is divisible by the number (10) 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 1201610210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455469589706).

1201610210000 is an abundant number, since it is smaller than the sum of its proper divisors (1709328969412).

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

1201610210000 is an equidigital number, since it uses as much as digits as its factorization.

1201610210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71098 (or 71077 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1201610210000 its reverse (120161021), we get a palindrome (1201730371021).

1201610210000 divided by its reverse (120161021) gives a 4-th power (10000 = 10⁴).

The spelling of 1201610210000 in words is "one trillion, two hundred one billion, six hundred ten million, two hundred ten thousand".