100121102011100 has 72 divisors (see below), whose sum is σ = 224462797794816. Its totient is φ = 38723457240000.

The previous prime is 100121102011043. The next prime is 100121102011103. The reversal of 100121102011100 is 1110201121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121102011103) 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 23 ways as a sum of consecutive naturals, for example, 10160306 + ... + 17420505.

Almost surely, 2^{100121102011100} is an apocalyptic number.

100121102011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121102011100 is an abundant number, since it is smaller than the sum of its proper divisors (124341695783716).

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

100121102011100 is a wasteful number, since it uses less digits than its factorization.

100121102011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27582027 (or 27582020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121102011100 its reverse (1110201121001), we get a palindrome (101231303132101).

The spelling of 100121102011100 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, eleven thousand, one hundred".