10210121220120 has 128 divisors (see below), whose sum is σ = 30666505443840. Its totient is φ = 2719487790080.

The previous prime is 10210121220059. The next prime is 10210121220127. The reversal of 10210121220120 is 2102212101201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10210121220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210121220127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641210479 + ... + 641226401.

It is an arithmetic number, because the mean of its divisors is an integer number (239582073780).

Almost surely, 2^{10210121220120} is an apocalyptic number.

10210121220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210121220120 is an abundant number, since it is smaller than the sum of its proper divisors (20456384223720).

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

10210121220120 is a wasteful number, since it uses less digits than its factorization.

10210121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21905 (or 21901 counting only the distinct ones).

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

Adding to 10210121220120 its reverse (2102212101201), we get a palindrome (12312333321321).

The spelling of 10210121220120 in words is "ten trillion, two hundred ten billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".