361201110202120 has 128 divisors (see below), whose sum is σ = 857859330700800. Its totient is φ = 136494972896256.

The previous prime is 361201110202111. The next prime is 361201110202171. The reversal of 361201110202120 is 21202011102163.

It is a super-2 number, since 2×361201110202120² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 361201110202091 and 361201110202100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6570490954 + ... + 6570545926.

It is an arithmetic number, because the mean of its divisors is an integer number (6702026021100).

Almost surely, 2^{361201110202120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361201110202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428929665350400).

361201110202120 is an abundant number, since it is smaller than the sum of its proper divisors (496658220498680).

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

361201110202120 is a wasteful number, since it uses less digits than its factorization.

361201110202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78927 (or 78923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 361201110202120 its reverse (21202011102163), we get a palindrome (382403121304283).

The spelling of 361201110202120 in words is "three hundred sixty-one trillion, two hundred one billion, one hundred ten million, two hundred two thousand, one hundred twenty".