100011012120100 has 18 divisors (see below), whose sum is σ = 217023896300834. Its totient is φ = 40004404848000.

The previous prime is 100011012120077. The next prime is 100011012120109. The reversal of 100011012120100 is 1021210110001.

It can be written as a sum of positive squares in 3 ways, for example, as 23105864604736 + 76905147515364 = 4806856^2 + 8769558^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100011012120109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500055060501 + ... + 500055060700.

Almost surely, 2^{100011012120100} is an apocalyptic number.

100011012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011012120100 is an abundant number, since it is smaller than the sum of its proper divisors (117012884180734).

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

100011012120100 is a wasteful number, since it uses less digits than its factorization.

100011012120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000110121215 (or 1000110121208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011012120100 its reverse (1021210110001), we get a palindrome (101032222230101).

The spelling of 100011012120100 in words is "one hundred trillion, eleven billion, twelve million, one hundred twenty thousand, one hundred".