1121100101 has 24 divisors (see below), whose sum is σ = 1260098112. Its totient is φ = 988992000.

The previous prime is 1121100083. The next prime is 1121100119. The reversal of 1121100101 is 1010011211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121100083) and next prime (1121100119).

It is a de Polignac number, because none of the positive numbers 2^k-1121100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121100401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10884416 + ... + 10884518.

It is an arithmetic number, because the mean of its divisors is an integer number (52504088).

Almost surely, 2^1121100101 is an apocalyptic number.

1121100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121100101 is a deficient number, since it is larger than the sum of its proper divisors (138998011).

1121100101 is a wasteful number, since it uses less digits than its factorization.

1121100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1121100101 is about 33482.8329297268. The cubic root of 1121100101 is about 1038.8387250556.

Adding to 1121100101 its reverse (1010011211), we get a palindrome (2131111312).

It can be divided in two parts, 11 and 21100101, that added together give a palindrome (21100112).

The spelling of 1121100101 in words is "one billion, one hundred twenty-one million, one hundred thousand, one hundred one".