121331101101030 has 384 divisors, whose sum is σ = 351793615380480. Its totient is φ = 28891079792640.

The previous prime is 121331101100933. The next prime is 121331101101031. The reversal of 121331101101030 is 30101101133121.

121331101101030 is a `hidden beast` number, since 1 + 213 + 311 + 0 + 110 + 1 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121331101100994 and 121331101101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331101101031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384747999 + ... + 385063221.

It is an arithmetic number, because the mean of its divisors is an integer number (916129206720).

Almost surely, 2^{121331101101030} is an apocalyptic number.

121331101101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121331101101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175896807690240).

121331101101030 is an abundant number, since it is smaller than the sum of its proper divisors (230462514279450).

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

121331101101030 is a wasteful number, since it uses less digits than its factorization.

121331101101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315476 (or 315473 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 121331101101030 its reverse (30101101133121), we get a palindrome (151432202234151).

The spelling of 121331101101030 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, one hundred one million, one hundred one thousand, thirty".