1042121002120 has 128 divisors (see below), whose sum is σ = 2641426329600. Its totient is φ = 366592838400.

The previous prime is 1042121002079. The next prime is 1042121002121. The reversal of 1042121002120 is 212001212401.

It is a junction number, because it is equal to n+sod(n) for n = 1042121002094 and 1042121002103.

It is not an unprimeable number, because it can be changed into a prime (1042121002121) 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, 41166507 + ... + 41191813.

It is an arithmetic number, because the mean of its divisors is an integer number (20636143200).

Almost surely, 2^{1042121002120} is an apocalyptic number.

1042121002120 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 1042121002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320713164800).

1042121002120 is an abundant number, since it is smaller than the sum of its proper divisors (1599305327480).

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

1042121002120 is a wasteful number, since it uses less digits than its factorization.

1042121002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28379 (or 28375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1042121002120 its reverse (212001212401), we get a palindrome (1254122214521).

The spelling of 1042121002120 in words is "one trillion, forty-two billion, one hundred twenty-one million, two thousand, one hundred twenty".