121122102002010 has 256 divisors, whose sum is σ = 334766363443200. Its totient is φ = 27843405004800.

The previous prime is 121122102002003. The next prime is 121122102002051. The reversal of 121122102002010 is 10200201221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 311911170 + ... + 312299250.

It is an arithmetic number, because the mean of its divisors is an integer number (1307681107200).

Almost surely, 2^{121122102002010} is an apocalyptic number.

121122102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122102002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167383181721600).

121122102002010 is an abundant number, since it is smaller than the sum of its proper divisors (213644261441190).

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

121122102002010 is a wasteful number, since it uses less digits than its factorization.

121122102002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389197.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121122102002010 its reverse (10200201221121), we get a palindrome (131322303223131).

The spelling of 121122102002010 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred two million, two thousand, ten".