101010001210000 has 100 divisors (see below), whose sum is σ = 252988256515500. Its totient is φ = 39010758976000.

The previous prime is 101010001209973. The next prime is 101010001210007. The reversal of 101010001210000 is 12100010101.

It can be written as a sum of positive squares in 10 ways, for example, as 98772033081744 + 2237968128256 = 9938412^2 + 1495984^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101010001210007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173865175 + ... + 174445174.

It is an arithmetic number, because the mean of its divisors is an integer number (2529882565155).

Almost surely, 2^{101010001210000} is an apocalyptic number.

101010001210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010001210000 is an abundant number, since it is smaller than the sum of its proper divisors (151978255305500).

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

101010001210000 is an equidigital number, since it uses as much as digits as its factorization.

101010001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348310406 (or 348310385 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101010001210000 its reverse (12100010101), we get a palindrome (101022101220101).

The spelling of 101010001210000 in words is "one hundred one trillion, ten billion, one million, two hundred ten thousand".