100121121020120 has 64 divisors (see below), whose sum is σ = 230216955408000. Its totient is φ = 39178739778048.

The previous prime is 100121121020077. The next prime is 100121121020171. The reversal of 100121121020120 is 21020121121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121121020095 and 100121121020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144994547 + ... + 145683426.

It is an arithmetic number, because the mean of its divisors is an integer number (3597139928250).

Almost surely, 2^{100121121020120} is an apocalyptic number.

100121121020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121121020120 is an abundant number, since it is smaller than the sum of its proper divisors (130095834387880).

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

100121121020120 is a wasteful number, since it uses less digits than its factorization.

100121121020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290678172 (or 290678168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121121020120 its reverse (21020121121001), we get a palindrome (121141242141121).

The spelling of 100121121020120 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty thousand, one hundred twenty".