121111110100 has 18 divisors (see below), whose sum is σ = 262811109134. Its totient is φ = 48444444000.

The previous prime is 121111110079. The next prime is 121111110101. The reversal of 121111110100 is 1011111121.

121111110100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 26492119696 + 94618990404 = 162764^2 + 307602^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605555451 + ... + 605555650.

Almost surely, 2^121111110100 is an apocalyptic number.

121111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111110100 is an abundant number, since it is smaller than the sum of its proper divisors (141699999034).

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

121111110100 is a wasteful number, since it uses less digits than its factorization.

121111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211111115 (or 1211111108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 121111110100 its reverse (1011111121), we get a palindrome (122122221221).

It can be divided in two parts, 12111 and 1110100, that added together give a palindrome (1122211).

The spelling of 121111110100 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred ten thousand, one hundred".