1011000201012 has 36 divisors (see below), whose sum is σ = 2556390562180. Its totient is φ = 336893686272.

The previous prime is 1011000201011. The next prime is 1011000201061. The reversal of 1011000201012 is 2101020001101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 695646074916 + 315354126096 = 834054^2 + 561564^2 .

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 = 1011000200985 and 1011000201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000201011) 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, 4316863 + ... + 4545030.

Almost surely, 2^{1011000201012} is an apocalyptic number.

1011000201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011000201012 is an abundant number, since it is smaller than the sum of its proper divisors (1545390361168).

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

1011000201012 is a wasteful number, since it uses less digits than its factorization.

1011000201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865072 (or 8865067 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011000201012 its reverse (2101020001101), we get a palindrome (3112020202113).

The spelling of 1011000201012 in words is "one trillion, eleven billion, two hundred one thousand, twelve".