121201121102010 has 128 divisors (see below), whose sum is σ = 314662098124800. Its totient is φ = 29773274146560.

The previous prime is 121201121101997. The next prime is 121201121102021. The reversal of 121201121102010 is 10201121102121.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 32369895 + ... + 35919525.

It is an arithmetic number, because the mean of its divisors is an integer number (2458297641600).

Almost surely, 2^{121201121102010} is an apocalyptic number.

121201121102010 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 121201121102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157331049062400).

121201121102010 is an abundant number, since it is smaller than the sum of its proper divisors (193460977022790).

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

121201121102010 is a wasteful number, since it uses less digits than its factorization.

121201121102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551316.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121201121102010 its reverse (10201121102121), we get a palindrome (131402242204131).

The spelling of 121201121102010 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, ten".