114300142221210 has 128 divisors (see below), whose sum is σ = 299852973681408. Its totient is φ = 27654105600000.

The previous prime is 114300142221203. The next prime is 114300142221211. The reversal of 114300142221210 is 12122241003411.

It is not an unprimeable number, because it can be changed into a prime (114300142221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011082290 + ... + 1011195330.

It is an arithmetic number, because the mean of its divisors is an integer number (2342601356886).

Almost surely, 2^{114300142221210} is an apocalyptic number.

114300142221210 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 114300142221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149926486840704).

114300142221210 is an abundant number, since it is smaller than the sum of its proper divisors (185552831460198).

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

114300142221210 is a wasteful number, since it uses less digits than its factorization.

114300142221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119120.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114300142221210 its reverse (12122241003411), we get a palindrome (126422383224621).

The spelling of 114300142221210 in words is "one hundred fourteen trillion, three hundred billion, one hundred forty-two million, two hundred twenty-one thousand, two hundred ten".