121201102100120 has 64 divisors (see below), whose sum is σ = 322406872603200. Its totient is φ = 40121744140800.

The previous prime is 121201102100087. The next prime is 121201102100153. The reversal of 121201102100120 is 21001201102121.

It is an interprime number because it is at equal distance from previous prime (121201102100087) and next prime (121201102100153).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121201102100095 and 121201102100104.

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 15 ways as a sum of consecutive naturals, for example, 7463113931 + ... + 7463130170.

It is an arithmetic number, because the mean of its divisors is an integer number (5037607384425).

Almost surely, 2^{121201102100120} is an apocalyptic number.

121201102100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201102100120 is an abundant number, since it is smaller than the sum of its proper divisors (201205770503080).

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

121201102100120 is a wasteful number, since it uses less digits than its factorization.

121201102100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14926244148 (or 14926244144 counting only the distinct ones).

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

Adding to 121201102100120 its reverse (21001201102121), we get a palindrome (142202303202241).

The spelling of 121201102100120 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred two million, one hundred thousand, one hundred twenty".