121311242100 has 108 divisors (see below), whose sum is σ = 380420820780. Its totient is φ = 32334566400.

The previous prime is 121311242081. The next prime is 121311242119. The reversal of 121311242100 is 1242113121.

121311242100 is a `hidden beast` number, since 12 + 1 + 311 + 242 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (121311242081) and next prime (121311242119).

It can be written as a sum of positive squares in 6 ways, for example, as 15069924 + 121296172176 = 3882^2 + 348276^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1968556 + ... + 2029244.

Almost surely, 2^121311242100 is an apocalyptic number.

121311242100 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 121311242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190210410390).

121311242100 is an abundant number, since it is smaller than the sum of its proper divisors (259109578680).

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

121311242100 is a wasteful number, since it uses less digits than its factorization.

121311242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62930 (or 62920 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121311242100 its reverse (1242113121), we get a palindrome (122553355221).

The spelling of 121311242100 in words is "one hundred twenty-one billion, three hundred eleven million, two hundred forty-two thousand, one hundred".