1102101001120 has 96 divisors (see below), whose sum is σ = 3044874526848. Its totient is φ = 369075667968.

The previous prime is 1102101001073. The next prime is 1102101001121. The reversal of 1102101001120 is 211001012011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1102101001097 and 1102101001106.

It is not an unprimeable number, because it can be changed into a prime (1102101001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11393919 + ... + 11490238.

It is an arithmetic number, because the mean of its divisors is an integer number (31717442988).

Almost surely, 2^{1102101001120} is an apocalyptic number.

1102101001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102101001120 is an abundant number, since it is smaller than the sum of its proper divisors (1942773525728).

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

1102101001120 is a wasteful number, since it uses less digits than its factorization.

1102101001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22884222 (or 22884214 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102101001120 its reverse (211001012011), we get a palindrome (1313102013131).

The spelling of 1102101001120 in words is "one trillion, one hundred two billion, one hundred one million, one thousand, one hundred twenty".