1001102010100 has 36 divisors (see below), whose sum is σ = 2172444637804. Its totient is φ = 400430983680.

The previous prime is 1001102010091. The next prime is 1001102010107. The reversal of 1001102010100 is 10102011001.

1001102010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 53493213796 + 947608796304 = 231286^2 + 973452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102010107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5066764 + ... + 5260636.

Almost surely, 2^{1001102010100} is an apocalyptic number.

1001102010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001102010100 is an abundant number, since it is smaller than the sum of its proper divisors (1171342627704).

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

1001102010100 is a wasteful number, since it uses less digits than its factorization.

1001102010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245524 (or 245517 counting only the distinct ones).

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

Adding to 1001102010100 its reverse (10102011001), we get a palindrome (1011204021101).

Subtracting from 1001102010100 its reverse (10102011001), we obtain a palindrome (990999999099).

The spelling of 1001102010100 in words is "one trillion, one billion, one hundred two million, ten thousand, one hundred".