101561102208 has 320 divisors, whose sum is σ = 318260685600. Its totient is φ = 32086720512.

The previous prime is 101561102207. The next prime is 101561102213. The reversal of 101561102208 is 802201165101.

101561102208 is a `hidden beast` number, since 10 + 15 + 611 + 0 + 2 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101561102207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26944548 + ... + 26948316.

Almost surely, 2^101561102208 is an apocalyptic number.

101561102208 is a gapful number since it is divisible by the number (18) 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 101561102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159130342800).

101561102208 is an abundant number, since it is smaller than the sum of its proper divisors (216699583392).

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

101561102208 is a wasteful number, since it uses less digits than its factorization.

101561102208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 101561102208 its reverse (802201165101), we get a palindrome (903762267309).

The spelling of 101561102208 in words is "one hundred one billion, five hundred sixty-one million, one hundred two thousand, two hundred eight".