121103102122002 has 384 divisors, whose sum is σ = 368984268656640. Its totient is φ = 27670014789120.

The previous prime is 121103102122001. The next prime is 121103102122021. The reversal of 121103102122002 is 200221201301121.

121103102122002 is a `hidden beast` number, since 1 + 2 + 110 + 310 + 21 + 220 + 0 + 2 = 666.

It is a super-2 number, since 2×121103102122002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121103102122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110934193 + ... + 112020539.

It is an arithmetic number, because the mean of its divisors is an integer number (960896532960).

Almost surely, 2^{121103102122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121103102122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184492134328320).

121103102122002 is an abundant number, since it is smaller than the sum of its proper divisors (247881166534638).

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

121103102122002 is a wasteful number, since it uses less digits than its factorization.

121103102122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086678 (or 1086675 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121103102122002 its reverse (200221201301121), we get a palindrome (321324303423123).

The spelling of 121103102122002 in words is "one hundred twenty-one trillion, one hundred three billion, one hundred two million, one hundred twenty-two thousand, two".