101201210000 has 100 divisors (see below), whose sum is σ = 267292926384. Its totient is φ = 36800400000.

The previous prime is 101201209937. The next prime is 101201210003. The reversal of 101201210000 is 12102101.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101201210000.

It is not an unprimeable number, because it can be changed into a prime (101201210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 350006 + ... + 570005.

Almost surely, 2^101201210000 is an apocalyptic number.

101201210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201210000 is an abundant number, since it is smaller than the sum of its proper divisors (166091716384).

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

101201210000 is an equidigital number, since it uses as much as digits as its factorization.

101201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920050 (or 920029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101201210000 its reverse (12102101), we get a palindrome (101213312101).

The spelling of 101201210000 in words is "one hundred one billion, two hundred one million, two hundred ten thousand".