1011220102100 has 54 divisors (see below), whose sum is σ = 2376127937610. Its totient is φ = 373373569920.

The previous prime is 1011220102069. The next prime is 1011220102121. The reversal of 1011220102100 is 12010221101.

It can be written as a sum of positive squares in 9 ways, for example, as 885880028944 + 125340073156 = 941212^2 + 354034^2 .

It is a super-2 number, since 2×1011220102100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29900855 + ... + 29934654.

It is an arithmetic number, because the mean of its divisors is an integer number (44002369215).

Almost surely, 2^{1011220102100} is an apocalyptic number.

1011220102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011220102100 is an abundant number, since it is smaller than the sum of its proper divisors (1364907835510).

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

1011220102100 is a wasteful number, since it uses less digits than its factorization.

1011220102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59835549 (or 59835529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011220102100 its reverse (12010221101), we get a palindrome (1023230323201).

The spelling of 1011220102100 in words is "one trillion, eleven billion, two hundred twenty million, one hundred two thousand, one hundred".