1001100201012 has 36 divisors (see below), whose sum is σ = 2533214289060. Its totient is φ = 333349898112.

The previous prime is 1001100201007. The next prime is 1001100201043. The reversal of 1001100201012 is 2101020011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 409809946896 + 591290254116 = 640164^2 + 768954^2 .

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

It is a super-2 number, since 2×1001100201012² (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 = 1001100200985 and 1001100201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14555587 + ... + 14624202.

It is an arithmetic number, because the mean of its divisors is an integer number (70367063585).

Almost surely, 2^{1001100201012} is an apocalyptic number.

1001100201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001100201012 is an abundant number, since it is smaller than the sum of its proper divisors (1532114088048).

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

1001100201012 is a wasteful number, since it uses less digits than its factorization.

1001100201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29180752 (or 29180747 counting only the distinct ones).

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

Adding to 1001100201012 its reverse (2101020011001), we get a palindrome (3102120212013).

The spelling of 1001100201012 in words is "one trillion, one billion, one hundred million, two hundred one thousand, twelve".