10202121110016 has 240 divisors, whose sum is σ = 33193933264800. Its totient is φ = 3091551344640.

The previous prime is 10202121109993. The next prime is 10202121110017. The reversal of 10202121110016 is 61001112120201.

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

It is not an unprimeable number, because it can be changed into a prime (10202121110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376886 + ... + 4722293.

It is an arithmetic number, because the mean of its divisors is an integer number (138308055270).

Almost surely, 2^{10202121110016} is an apocalyptic number.

10202121110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10202121110016 is an abundant number, since it is smaller than the sum of its proper divisors (22991812154784).

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

10202121110016 is an equidigital number, since it uses as much as digits as its factorization.

10202121110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099228 (or 6099195 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10202121110016 its reverse (61001112120201), we get a palindrome (71203233230217).

The spelling of 10202121110016 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred ten thousand, sixteen".