10100100100000 has 72 divisors (see below), whose sum is σ = 24854124570156. Its totient is φ = 4040040000000.

The previous prime is 10100100099983. The next prime is 10100100100001. The reversal of 10100100100000 is 100100101.

It can be written as a sum of positive squares in 6 ways, for example, as 603175902736 + 9496924197264 = 776644^2 + 3081708^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10100100100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50400501 + ... + 50600500.

Almost surely, 2^{10100100100000} is an apocalyptic number.

10100100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100100000 is an abundant number, since it is smaller than the sum of its proper divisors (14754024470156).

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

10100100100000 is an frugal number, since it uses more digits than its factorization.

10100100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001036 (or 101001008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100100100000 its reverse (100100101), we get a palindrome (10100200200101).

The spelling of 10100100100000 in words is "ten trillion, one hundred billion, one hundred million, one hundred thousand".