1011200210100 has 108 divisors (see below), whose sum is σ = 3355995101004. Its totient is φ = 253791421440.

The previous prime is 1011200210077. The next prime is 1011200210159. The reversal of 1011200210100 is 10120021101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 141192571536 + 870007638564 = 375756^2 + 932742^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33030459 + ... + 33061058.

It is an arithmetic number, because the mean of its divisors is an integer number (31074028713).

Almost surely, 2^{1011200210100} is an apocalyptic number.

1011200210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011200210100 is an abundant number, since it is smaller than the sum of its proper divisors (2344794890904).

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

1011200210100 is a wasteful number, since it uses less digits than its factorization.

1011200210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66091554 (or 66091544 counting only the distinct ones).

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

Adding to 1011200210100 its reverse (10120021101), we get a palindrome (1021320231201).

The spelling of 1011200210100 in words is "one trillion, eleven billion, two hundred million, two hundred ten thousand, one hundred".