100102121000020 has 24 divisors (see below), whose sum is σ = 216995565523968. Its totient is φ = 38749208128800.

The previous prime is 100102120999967. The next prime is 100102121000029. The reversal of 100102121000020 is 20000121201001.

100102121000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102120999970 and 100102121000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102121000029) 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 7 ways as a sum of consecutive naturals, for example, 80727516316 + ... + 80727517555.

It is an arithmetic number, because the mean of its divisors is an integer number (9041481896832).

Almost surely, 2^{100102121000020} is an apocalyptic number.

100102121000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102121000020 is an abundant number, since it is smaller than the sum of its proper divisors (116893444523948).

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

100102121000020 is a wasteful number, since it uses less digits than its factorization.

100102121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161455033911 (or 161455033909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102121000020 its reverse (20000121201001), we get a palindrome (120102242201021).

The spelling of 100102121000020 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, twenty", and thus it is an aban number.