1102101003120 has 320 divisors, whose sum is σ = 3735408918528. Its totient is φ = 267179520000.

The previous prime is 1102101003079. The next prime is 1102101003139. The reversal of 1102101003120 is 213001012011.

It is a super-2 number, since 2×1102101003120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1102101003096 and 1102101003105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60178765 + ... + 60197075.

Almost surely, 2^{1102101003120} is an apocalyptic number.

1102101003120 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 1102101003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867704459264).

1102101003120 is an abundant number, since it is smaller than the sum of its proper divisors (2633307915408).

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

1102101003120 is a wasteful number, since it uses less digits than its factorization.

1102101003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18632 (or 18626 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1102101003120 its reverse (213001012011), we get a palindrome (1315102015131).

The spelling of 1102101003120 in words is "one trillion, one hundred two billion, one hundred one million, three thousand, one hundred twenty".