1011102100112 has 160 divisors (see below), whose sum is σ = 2175460761600. Its totient is φ = 452280176640.

The previous prime is 1011102100109. The next prime is 1011102100121. The reversal of 1011102100112 is 2110012011101.

It is a junction number, because it is equal to n+sod(n) for n = 1011102100093 and 1011102100102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139911733 + ... + 1139912619.

It is an arithmetic number, because the mean of its divisors is an integer number (13596629760).

Almost surely, 2^{1011102100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011102100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087730380800).

1011102100112 is an abundant number, since it is smaller than the sum of its proper divisors (1164358661488).

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

1011102100112 is a wasteful number, since it uses less digits than its factorization.

1011102100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011102100112 its reverse (2110012011101), we get a palindrome (3121114111213).

The spelling of 1011102100112 in words is "one trillion, eleven billion, one hundred two million, one hundred thousand, one hundred twelve".