202114121411202 has 768 divisors, whose sum is σ = 562410492134400. Its totient is φ = 47104853114880.

The previous prime is 202114121411201. The next prime is 202114121411207.

202114121411202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (202114121411201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 98448182808 + ... + 98448184860.

It is an arithmetic number, because the mean of its divisors is an integer number (732305328300).

Almost surely, 2^{202114121411202} is an apocalyptic number.

202114121411202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202114121411202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281205246067200).

202114121411202 is an abundant number, since it is smaller than the sum of its proper divisors (360296370723198).

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

202114121411202 is a wasteful number, since it uses less digits than its factorization.

202114121411202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 202114121411202 in words is "two hundred two trillion, one hundred fourteen billion, one hundred twenty-one million, four hundred eleven thousand, two hundred two".