1101120102096 has 320 divisors, whose sum is σ = 3531193989120. Its totient is φ = 288646225920.

The previous prime is 1101120102091. The next prime is 1101120102101. The reversal of 1101120102096 is 6902010211011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101120102091) and next prime (1101120102101).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101120102091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35843575 + ... + 35874281.

It is an arithmetic number, because the mean of its divisors is an integer number (11034981216).

Almost surely, 2^{1101120102096} is an apocalyptic number.

1101120102096 is a gapful number since it is divisible by the number (16) 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 1101120102096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765596994560).

1101120102096 is an abundant number, since it is smaller than the sum of its proper divisors (2430073887024).

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

1101120102096 is a wasteful number, since it uses less digits than its factorization.

1101120102096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30922 (or 30916 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 1101120102096 in words is "one trillion, one hundred one billion, one hundred twenty million, one hundred two thousand, ninety-six".