1123101013100 has 72 divisors (see below), whose sum is σ = 2658852822528. Its totient is φ = 408374804800.

The previous prime is 1123101013091. The next prime is 1123101013193. The reversal of 1123101013100 is 13101013211.

It is a happy number.

It is a super-2 number, since 2×1123101013100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34751549 + ... + 34783851.

It is an arithmetic number, because the mean of its divisors is an integer number (36928511424).

Almost surely, 2^{1123101013100} is an apocalyptic number.

1123101013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123101013100 is an abundant number, since it is smaller than the sum of its proper divisors (1535751809428).

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

1123101013100 is a wasteful number, since it uses less digits than its factorization.

1123101013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63935 (or 63928 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1123101013100 its reverse (13101013211), we get a palindrome (1136202026311).

The spelling of 1123101013100 in words is "one trillion, one hundred twenty-three billion, one hundred one million, thirteen thousand, one hundred".