1011201020100 has 108 divisors (see below), whose sum is σ = 3255217132804. Its totient is φ = 262365661440.

The previous prime is 1011201020059. The next prime is 1011201020107. The reversal of 1011201020100 is 10201021101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30661410816 + 980539609284 = 175104^2 + 990222^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1011201020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15149899 + ... + 15216498.

Almost surely, 2^{1011201020100} is an apocalyptic number.

1011201020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011201020100 is an abundant number, since it is smaller than the sum of its proper divisors (2244016112704).

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

1011201020100 is a wasteful number, since it uses less digits than its factorization.

1011201020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30366454 (or 30366444 counting only the distinct ones).

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

Adding to 1011201020100 its reverse (10201021101), we get a palindrome (1021402041201).

The spelling of 1011201020100 in words is "one trillion, eleven billion, two hundred one million, twenty thousand, one hundred".