101011051105600 has 84 divisors (see below), whose sum is σ = 251343018179100. Its totient is φ = 39950438133760.

The previous prime is 101011051105567. The next prime is 101011051105619. The reversal of 101011051105600 is 6501150110101.

It can be written as a sum of positive squares in 6 ways, for example, as 14928579517504 + 86082471588096 = 3863752^2 + 9278064^2 .

It is a congruent number.

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, 354531235 + ... + 354816034.

Almost surely, 2^{101011051105600} is an apocalyptic number.

101011051105600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011051105600 is an abundant number, since it is smaller than the sum of its proper divisors (150331967073500).

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

101011051105600 is an equidigital number, since it uses as much as digits as its factorization.

101011051105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709347380 (or 709347365 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 22.

The spelling of 101011051105600 in words is "one hundred one trillion, eleven billion, fifty-one million, one hundred five thousand, six hundred".