121035014100 has 1152 divisors, whose sum is σ = 550164787200. Its totient is φ = 21984307200.

The previous prime is 121035014039. The next prime is 121035014129. The reversal of 121035014100 is 1410530121.

121035014100 is a `hidden beast` number, since 1 + 210 + 350 + 1 + 4 + 100 = 666.

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 383 ways as a sum of consecutive naturals, for example, 51350122 + ... + 51352478.

It is an arithmetic number, because the mean of its divisors is an integer number (477573600).

Almost surely, 2^121035014100 is an apocalyptic number.

121035014100 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 121035014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275082393600).

121035014100 is an abundant number, since it is smaller than the sum of its proper divisors (429129773100).

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

121035014100 is a wasteful number, since it uses less digits than its factorization.

121035014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 121035014100 its reverse (1410530121), we get a palindrome (122445544221).

The spelling of 121035014100 in words is "one hundred twenty-one billion, thirty-five million, fourteen thousand, one hundred".