100100121102100 has 72 divisors (see below), whose sum is σ = 248295122345088. Its totient is φ = 34313568432000.

The previous prime is 100100121102077. The next prime is 100100121102131. The reversal of 100100121102100 is 1201121001001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9770851 + ... + 17195050.

It is an arithmetic number, because the mean of its divisors is an integer number (3448543365904).

Almost surely, 2^{100100121102100} is an apocalyptic number.

100100121102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100121102100 is an abundant number, since it is smaller than the sum of its proper divisors (148195001242988).

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

100100121102100 is a wasteful number, since it uses less digits than its factorization.

100100121102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26971225 (or 26971218 counting only the distinct ones).

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

Adding to 100100121102100 its reverse (1201121001001), we get a palindrome (101301242103101).

The spelling of 100100121102100 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, one hundred two thousand, one hundred".