10100101120000 has 160 divisors (see below), whose sum is σ = 25241838736950. Its totient is φ = 4040032256000.

The previous prime is 10100101119989. The next prime is 10100101120003. The reversal of 10100101120000 is 2110100101.

It can be written as a sum of positive squares in 5 ways, for example, as 701412950016 + 9398688169984 = 837504^2 + 3065728^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (10100101120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20233416 + ... + 20726584.

Almost surely, 2^{10100101120000} is an apocalyptic number.

10100101120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620919368475).

10100101120000 is an abundant number, since it is smaller than the sum of its proper divisors (15141737616950).

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

10100101120000 is an frugal number, since it uses more digits than its factorization.

10100101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493219 (or 493176 counting only the distinct ones).

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

Adding to 10100101120000 its reverse (2110100101), we get a palindrome (10102211220101).

The spelling of 10100101120000 in words is "ten trillion, one hundred billion, one hundred one million, one hundred twenty thousand".