10001102010100 has 36 divisors (see below), whose sum is σ = 21704804424268. Its totient is φ = 3999996000000.

The previous prime is 10001102010089. The next prime is 10001102010143. The reversal of 10001102010100 is 101020110001.

It can be written as a sum of positive squares in 6 ways, for example, as 9762625636 + 9991339384464 = 98806^2 + 3160908^2 .

It is a congruent number.

It is an unprimeable number.

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, 4655451 + ... + 6455650.

Almost surely, 2^{10001102010100} is an apocalyptic number.

10001102010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001102010100 is an abundant number, since it is smaller than the sum of its proper divisors (11703702414168).

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

10001102010100 is a wasteful number, since it uses less digits than its factorization.

10001102010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120116 (or 11120109 counting only the distinct ones).

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

Adding to 10001102010100 its reverse (101020110001), we get a palindrome (10102122120101).

The spelling of 10001102010100 in words is "ten trillion, one billion, one hundred two million, ten thousand, one hundred".