261101222101062 has 192 divisors, whose sum is σ = 678654203535360. Its totient is φ = 70976769696000.

The previous prime is 261101222100949. The next prime is 261101222101063. The reversal of 261101222101062 is 260101222101162.

It is a happy number.

261101222101062 is a `hidden beast` number, since 2 + 611 + 0 + 1 + 2 + 22 + 10 + 10 + 6 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261101222101063) 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, 76193883 + ... + 79546905.

It is an arithmetic number, because the mean of its divisors is an integer number (3534657310080).

Almost surely, 2^{261101222101062} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261101222101062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339327101767680).

261101222101062 is an abundant number, since it is smaller than the sum of its proper divisors (417552981434298).

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

261101222101062 is a wasteful number, since it uses less digits than its factorization.

261101222101062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353379 (or 3353376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 261101222101062 in words is "two hundred sixty-one trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, sixty-two".