1101000101112 has 48 divisors (see below), whose sum is σ = 3084698565000. Its totient is φ = 354344859456.

The previous prime is 1101000101111. The next prime is 1101000101129. The reversal of 1101000101112 is 2111010001011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101000101094 and 1101000101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101000101111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263647362 + ... + 263651537.

Almost surely, 2^{1101000101112} is an apocalyptic number.

1101000101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101000101112 is an abundant number, since it is smaller than the sum of its proper divisors (1983698463888).

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

1101000101112 is a wasteful number, since it uses less digits than its factorization.

1101000101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527298940 (or 527298933 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101000101112 its reverse (2111010001011), we get a palindrome (3212010102123).

The spelling of 1101000101112 in words is "one trillion, one hundred one billion, one hundred one thousand, one hundred twelve".