1101102009975 has 240 divisors, whose sum is σ = 2251541651040. Its totient is φ = 527540428800.

The previous prime is 1101102009967. The next prime is 1101102009979. The reversal of 1101102009975 is 5799002011011.

It is not a de Polignac number, because 1101102009975 - 2³ = 1101102009967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101102009979) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1553034921 + ... + 1553035629.

It is an arithmetic number, because the mean of its divisors is an integer number (9381423546).

Almost surely, 2^{1101102009975} is an apocalyptic number.

1101102009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1101102009975 is an abundant number, since it is smaller than the sum of its proper divisors (1150439641065).

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

1101102009975 is a wasteful number, since it uses less digits than its factorization.

1101102009975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 1101102009975 in words is "one trillion, one hundred one billion, one hundred two million, nine thousand, nine hundred seventy-five".