1100101121696 has 96 divisors (see below), whose sum is σ = 2403478707840. Its totient is φ = 493003472896.

The previous prime is 1100101121681. The next prime is 1100101121711. The reversal of 1100101121696 is 6961211010011.

It is an interprime number because it is at equal distance from previous prime (1100101121681) and next prime (1100101121711).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646560 + ... + 3033888.

It is an arithmetic number, because the mean of its divisors is an integer number (25036236540).

Almost surely, 2^{1100101121696} is an apocalyptic number.

1100101121696 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 1100101121696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201739353920).

1100101121696 is an abundant number, since it is smaller than the sum of its proper divisors (1303377586144).

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

1100101121696 is a wasteful number, since it uses less digits than its factorization.

1100101121696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387606 (or 387598 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 1100101121696 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, six hundred ninety-six".