101011103210000 has 100 divisors (see below), whose sum is σ = 252991016569500. Its totient is φ = 39011184576000.

The previous prime is 101011103209999. The next prime is 101011103210057. The reversal of 101011103210000 is 12301110101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 98141833102336 + 2869270107664 = 9906656^2 + 1693892^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173867075 + ... + 174447074.

It is an arithmetic number, because the mean of its divisors is an integer number (2529910165695).

Almost surely, 2^{101011103210000} is an apocalyptic number.

101011103210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011103210000 is an abundant number, since it is smaller than the sum of its proper divisors (151979913359500).

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

101011103210000 is an equidigital number, since it uses as much as digits as its factorization.

101011103210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348314206 (or 348314185 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101011103210000 its reverse (12301110101), we get a palindrome (101023404320101).

The spelling of 101011103210000 in words is "one hundred one trillion, eleven billion, one hundred three million, two hundred ten thousand".