1011121102096 has 80 divisors (see below), whose sum is σ = 2371995218304. Its totient is φ = 407609137152.

The previous prime is 1011121102049. The next prime is 1011121102151. The reversal of 1011121102096 is 6902011211101.

1011121102096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1011121102096.

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, 3126486 + ... + 3434698.

Almost surely, 2^{1011121102096} is an apocalyptic number.

1011121102096 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 1011121102096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185997609152).

1011121102096 is an abundant number, since it is smaller than the sum of its proper divisors (1360874116208).

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

1011121102096 is a wasteful number, since it uses less digits than its factorization.

1011121102096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309968 (or 309962 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 25.

Adding to 1011121102096 its reverse (6902011211101), we get a palindrome (7913132313197).

The spelling of 1011121102096 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred two thousand, ninety-six".