242100121211130 has 256 divisors, whose sum is σ = 717815396745216. Its totient is φ = 50888483712000.

The previous prime is 242100121211119. The next prime is 242100121211171. The reversal of 242100121211130 is 31112121001242.

242100121211130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242100121211130² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 242100121211097 and 242100121211106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3670542112 + ... + 3670608068.

It is an arithmetic number, because the mean of its divisors is an integer number (2803966393536).

Almost surely, 2^{242100121211130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242100121211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358907698372608).

242100121211130 is an abundant number, since it is smaller than the sum of its proper divisors (475715275534086).

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

242100121211130 is a wasteful number, since it uses less digits than its factorization.

242100121211130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71021.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 242100121211130 its reverse (31112121001242), we get a palindrome (273212242212372).

The spelling of 242100121211130 in words is "two hundred forty-two trillion, one hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred thirty".