10010100100100 has 36 divisors (see below), whose sum is σ = 21722297629284. Its totient is φ = 4003969918080.

The previous prime is 10010100100087. The next prime is 10010100100103. The reversal of 10010100100100 is 100100101001.

It can be written as a sum of positive squares in 6 ways, for example, as 680044323904 + 9330055776196 = 824648^2 + 3054514^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10010100100103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5062322 + ... + 6756278.

It is an arithmetic number, because the mean of its divisors is an integer number (603397156369).

Almost surely, 2^{10010100100100} is an apocalyptic number.

10010100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010100100100 is an abundant number, since it is smaller than the sum of its proper divisors (11712197529184).

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

10010100100100 is a wasteful number, since it uses less digits than its factorization.

10010100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753064 (or 1753057 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10010100100100 its reverse (100100101001), we get a palindrome (10110200201101).

Subtracting from 10010100100100 its reverse (100100101001), we obtain a palindrome (9909999999099).

The spelling of 10010100100100 in words is "ten trillion, ten billion, one hundred million, one hundred thousand, one hundred".