1011101022100 has 72 divisors (see below), whose sum is σ = 2378723923800. Its totient is φ = 370823969280.

The previous prime is 1011101022097. The next prime is 1011101022101. The reversal of 1011101022100 is 12201011101.

It can be written as a sum of positive squares in 12 ways, for example, as 917491948164 + 93609073936 = 957858^2 + 305956^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2416267 + ... + 2803666.

It is an arithmetic number, because the mean of its divisors is an integer number (33037832275).

Almost surely, 2^{1011101022100} is an apocalyptic number.

1011101022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011101022100 is an abundant number, since it is smaller than the sum of its proper divisors (1367622901700).

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

1011101022100 is a wasteful number, since it uses less digits than its factorization.

1011101022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220109 (or 5220102 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011101022100 its reverse (12201011101), we get a palindrome (1023302033201).

The spelling of 1011101022100 in words is "one trillion, eleven billion, one hundred one million, twenty-two thousand, one hundred".