10201212012000 has 96 divisors (see below), whose sum is σ = 33419170590624. Its totient is φ = 2720323200000.

The previous prime is 10201212011981. The next prime is 10201212012001. The reversal of 10201212012000 is 21021210201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201212012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425038501 + ... + 425062500.

It is an arithmetic number, because the mean of its divisors is an integer number (348116360319).

Almost surely, 2^{10201212012000} is an apocalyptic number.

10201212012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201212012000 is an abundant number, since it is smaller than the sum of its proper divisors (23217958578624).

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

10201212012000 is an equidigital number, since it uses as much as digits as its factorization.

10201212012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850101029 (or 850101011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201212012000 its reverse (21021210201), we get a palindrome (10222233222201).

The spelling of 10201212012000 in words is "ten trillion, two hundred one billion, two hundred twelve million, twelve thousand".