101201012210000 has 100 divisors (see below), whose sum is σ = 245022660775200. Its totient is φ = 40479596976000.

The previous prime is 101201012209933. The next prime is 101201012210017. The reversal of 101201012210000 is 12210102101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 921135071 + ... + 921244929.

It is an arithmetic number, because the mean of its divisors is an integer number (2450226607752).

Almost surely, 2^{101201012210000} is an apocalyptic number.

101201012210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201012210000 is an abundant number, since it is smaller than the sum of its proper divisors (143821648565200).

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

101201012210000 is an equidigital number, since it uses as much as digits as its factorization.

101201012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202006 (or 201985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201012210000 its reverse (12210102101), we get a palindrome (101213222312101).

The spelling of 101201012210000 in words is "one hundred one trillion, two hundred one billion, twelve million, two hundred ten thousand".