1102101112128 has 112 divisors (see below), whose sum is σ = 3170950248384. Its totient is φ = 336412385280.

The previous prime is 1102101112127. The next prime is 1102101112139. The reversal of 1102101112128 is 8212111012011.

It is a super-2 number, since 2×1102101112128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102101112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4442118 + ... + 4683653.

Almost surely, 2^{1102101112128} is an apocalyptic number.

It is an amenable number.

1102101112128 is an abundant number, since it is smaller than the sum of its proper divisors (2068849136256).

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

1102101112128 is a wasteful number, since it uses less digits than its factorization.

1102101112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125840 (or 9125830 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 1102101112128 its reverse (8212111012011), we get a palindrome (9314212124139).

The spelling of 1102101112128 in words is "one trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, one hundred twenty-eight".