1102001102100 has 108 divisors (see below), whose sum is σ = 3476162704924. Its totient is φ = 291995159040.

The previous prime is 1102001102089. The next prime is 1102001102129. The reversal of 1102001102100 is 12011002011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2246191236 + 1099754910864 = 47394^2 + 1048692^2 .

It is a super-2 number, since 2×1102001102100² (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 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, 3758209 + ... + 4040808.

Almost surely, 2^{1102001102100} is an apocalyptic number.

1102001102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102001102100 is an abundant number, since it is smaller than the sum of its proper divisors (2374161602824).

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

1102001102100 is a wasteful number, since it uses less digits than its factorization.

1102001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799194 (or 7799184 counting only the distinct ones).

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

Adding to 1102001102100 its reverse (12011002011), we get a palindrome (1114012104111).

The spelling of 1102001102100 in words is "one trillion, one hundred two billion, one million, one hundred two thousand, one hundred".