101010605600 has 72 divisors (see below), whose sum is σ = 247121089488. Its totient is φ = 40317574400.

The previous prime is 101010605581. The next prime is 101010605629. The reversal of 101010605600 is 6506010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238415 + ... + 508785.

It is an arithmetic number, because the mean of its divisors is an integer number (3432237354).

Almost surely, 2^101010605600 is an apocalyptic number.

101010605600 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 101010605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123560544744).

101010605600 is an abundant number, since it is smaller than the sum of its proper divisors (146110483888).

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

101010605600 is a wasteful number, since it uses less digits than its factorization.

101010605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270858 (or 270845 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 101010605600 its reverse (6506010101), we get a palindrome (107516615701).

The spelling of 101010605600 in words is "one hundred one billion, ten million, six hundred five thousand, six hundred".