161260101400200 has 384 divisors, whose sum is σ = 546416353008000. Its totient is φ = 39017128550400.

The previous prime is 161260101400183. The next prime is 161260101400201. The reversal of 161260101400200 is 2004101062161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (161260101400201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19501761666 + ... + 19501769934.

It is an arithmetic number, because the mean of its divisors is an integer number (1422959252625).

Almost surely, 2^{161260101400200} is an apocalyptic number.

161260101400200 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 161260101400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273208176504000).

161260101400200 is an abundant number, since it is smaller than the sum of its proper divisors (385156251607800).

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

161260101400200 is a wasteful number, since it uses less digits than its factorization.

161260101400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 161260101400200 its reverse (2004101062161), we get a palindrome (163264202462361).

The spelling of 161260101400200 in words is "one hundred sixty-one trillion, two hundred sixty billion, one hundred one million, four hundred thousand, two hundred".