1102101110100 has 216 divisors, whose sum is σ = 3515657844608. Its totient is φ = 288712512000.

The previous prime is 1102101110059. The next prime is 1102101110111. The reversal of 1102101110100 is 10111012011.

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 71 ways as a sum of consecutive naturals, for example, 22105200 + ... + 22155000.

Almost surely, 2^{1102101110100} is an apocalyptic number.

1102101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757828922304).

1102101110100 is an abundant number, since it is smaller than the sum of its proper divisors (2413556734508).

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

1102101110100 is a wasteful number, since it uses less digits than its factorization.

1102101110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50255 (or 50245 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1102101110100 its reverse (10111012011), we get a palindrome (1112212122111).

It can be divided in two parts, 1102101 and 110100, that added together give a square (1212201 = 1101²).

The spelling of 1102101110100 in words is "one trillion, one hundred two billion, one hundred one million, one hundred ten thousand, one hundred".