1101001011012 has 288 divisors, whose sum is σ = 3284341132800. Its totient is φ = 310829218560.

The previous prime is 1101001010983. The next prime is 1101001011041. The reversal of 1101001011012 is 2101101001011.

It is an interprime number because it is at equal distance from previous prime (1101001010983) and next prime (1101001011041).

It is a super-2 number, since 2×1101001011012² (a number of 25 digits) contains 22 as substring.

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 = 1101001010985 and 1101001011003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 932261062 + ... + 932262242.

Almost surely, 2^{1101001011012} is an apocalyptic number.

1101001011012 is a gapful number since it is divisible by the number (12) 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 1101001011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642170566400).

1101001011012 is an abundant number, since it is smaller than the sum of its proper divisors (2183340121788).

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

1101001011012 is a wasteful number, since it uses less digits than its factorization.

1101001011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2029 counting only the distinct ones).

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

Adding to 1101001011012 its reverse (2101101001011), we get a palindrome (3202102012023).

The spelling of 1101001011012 in words is "one trillion, one hundred one billion, one million, eleven thousand, twelve".