1101005298120 has 384 divisors, whose sum is σ = 4140637885440. Its totient is φ = 232143206400.

The previous prime is 1101005298077. The next prime is 1101005298131. The reversal of 1101005298120 is 218925001011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139346170 + ... + 139354070.

It is an arithmetic number, because the mean of its divisors is an integer number (10782911160).

Almost surely, 2^{1101005298120} is an apocalyptic number.

1101005298120 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 1101005298120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070318942720).

1101005298120 is an abundant number, since it is smaller than the sum of its proper divisors (3039632587320).

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

1101005298120 is a wasteful number, since it uses less digits than its factorization.

1101005298120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The spelling of 1101005298120 in words is "one trillion, one hundred one billion, five million, two hundred ninety-eight thousand, one hundred twenty".