1010100121120 has 96 divisors (see below), whose sum is σ = 2453590331136. Its totient is φ = 392730163200.

The previous prime is 1010100121067. The next prime is 1010100121123. The reversal of 1010100121120 is 211210010101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010100121097 and 1010100121106.

It is not an unprimeable number, because it can be changed into a prime (1010100121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493667 + ... + 2061853.

It is an arithmetic number, because the mean of its divisors is an integer number (25558232616).

Almost surely, 2^{1010100121120} is an apocalyptic number.

1010100121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010100121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226795165568).

1010100121120 is an abundant number, since it is smaller than the sum of its proper divisors (1443490210016).

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

1010100121120 is a wasteful number, since it uses less digits than its factorization.

1010100121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568514 (or 568506 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010100121120 its reverse (211210010101), we get a palindrome (1221310131221).

The spelling of 1010100121120 in words is "one trillion, ten billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".