100121102100020 has 24 divisors (see below), whose sum is σ = 210305458906368. Its totient is φ = 40038699031200.

The previous prime is 100121102100017. The next prime is 100121102100031. The reversal of 100121102100020 is 20001201121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121102099974 and 100121102100010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 608778776 + ... + 608943215.

It is an arithmetic number, because the mean of its divisors is an integer number (8762727454432).

Almost surely, 2^{100121102100020} is an apocalyptic number.

100121102100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121102100020 is an abundant number, since it is smaller than the sum of its proper divisors (110184356806348).

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

100121102100020 is a wasteful number, since it uses less digits than its factorization.

100121102100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217726111 (or 1217726109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121102100020 its reverse (20001201121001), we get a palindrome (120122303221021).

The spelling of 100121102100020 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, one hundred thousand, twenty".