1011001101012 has 36 divisors (see below), whose sum is σ = 2920669848096. Its totient is φ = 288857457360.

The previous prime is 1011001100951. The next prime is 1011001101013. The reversal of 1011001101012 is 2101011001101.

1011001101012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1011001100985 and 1011001101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011001101013) 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, 2005954314 + ... + 2005954817.

Almost surely, 2^{1011001101012} is an apocalyptic number.

1011001101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011001101012 is an abundant number, since it is smaller than the sum of its proper divisors (1909668747084).

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

1011001101012 is a wasteful number, since it uses less digits than its factorization.

1011001101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011909148 (or 4011909143 counting only the distinct ones).

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

Adding to 1011001101012 its reverse (2101011001101), we get a palindrome (3112012102113).

The spelling of 1011001101012 in words is "one trillion, eleven billion, one million, one hundred one thousand, twelve".