121302102096 has 300 divisors, whose sum is σ = 418373261460. Its totient is φ = 33811706880.

The previous prime is 121302102091. The next prime is 121302102121. The reversal of 121302102096 is 690201203121.

It can be written as a sum of positive squares in 2 ways, for example, as 6421778496 + 114880323600 = 80136^2 + 338940^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121302102091) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2580370 + ... + 2626958.

Almost surely, 2^121302102096 is an apocalyptic number.

121302102096 is a gapful number since it is divisible by the number (16) 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 121302102096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209186630730).

121302102096 is an abundant number, since it is smaller than the sum of its proper divisors (297071159364).

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

121302102096 is a wasteful number, since it uses less digits than its factorization.

121302102096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46664 (or 46642 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 121302102096 in words is "one hundred twenty-one billion, three hundred two million, one hundred two thousand, ninety-six".