10211100030100 has 36 divisors (see below), whose sum is σ = 22185476718300. Its totient is φ = 4079391228160.

The previous prime is 10211100030077. The next prime is 10211100030101. The reversal of 10211100030100 is 103000111201.

It can be written as a sum of positive squares in 6 ways, for example, as 40128903684 + 10170971126416 = 200322^2 + 3189196^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211100030101) 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, 63028495 + ... + 63190294.

It is an arithmetic number, because the mean of its divisors is an integer number (616263242175).

Almost surely, 2^{10211100030100} is an apocalyptic number.

10211100030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211100030100 is an abundant number, since it is smaller than the sum of its proper divisors (11974376688200).

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

10211100030100 is a wasteful number, since it uses less digits than its factorization.

10211100030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126219612 (or 126219605 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10211100030100 its reverse (103000111201), we get a palindrome (10314100141301).

The spelling of 10211100030100 in words is "ten trillion, two hundred eleven billion, one hundred million, thirty thousand, one hundred".