121210010100120 has 128 divisors (see below), whose sum is σ = 369187500844800. Its totient is φ = 31829012261376.

The previous prime is 121210010100103. The next prime is 121210010100131. The reversal of 121210010100120 is 21001010012121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121210010100096 and 121210010100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20152471 + ... + 25466489.

It is an arithmetic number, because the mean of its divisors is an integer number (2884277350350).

Almost surely, 2^{121210010100120} is an apocalyptic number.

121210010100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210010100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184593750422400).

121210010100120 is an abundant number, since it is smaller than the sum of its proper divisors (247977490744680).

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

121210010100120 is a wasteful number, since it uses less digits than its factorization.

121210010100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316937 (or 5316933 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121210010100120 its reverse (21001010012121), we get a palindrome (142211020112241).

The spelling of 121210010100120 in words is "one hundred twenty-one trillion, two hundred ten billion, ten million, one hundred thousand, one hundred twenty".