121120201112010 has 256 divisors, whose sum is σ = 309406676705280. Its totient is φ = 30311952168960.

The previous prime is 121120201112003. The next prime is 121120201112021. The reversal of 121120201112010 is 10211102021121.

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 127 ways as a sum of consecutive naturals, for example, 581178847 + ... + 581387213.

It is an arithmetic number, because the mean of its divisors is an integer number (1208619830880).

Almost surely, 2^{121120201112010} is an apocalyptic number.

121120201112010 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 121120201112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154703338352640).

121120201112010 is an abundant number, since it is smaller than the sum of its proper divisors (188286475593270).

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

121120201112010 is a wasteful number, since it uses less digits than its factorization.

121120201112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208653.

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

Adding to 121120201112010 its reverse (10211102021121), we get a palindrome (131331303133131).

The spelling of 121120201112010 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred one million, one hundred twelve thousand, ten".