10202110112121 has 8 divisors (see below), whose sum is σ = 13970457090624. Its totient is φ = 6617584937520.

The previous prime is 10202110112119. The next prime is 10202110112203. The reversal of 10202110112121 is 12121101120201.

It is a happy number.

10202110112121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10202110112121 - 2¹ = 10202110112119 is a prime.

It is a super-3 number, since 3×10202110112121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10202110112121.

It is not an unprimeable number, because it can be changed into a prime (10202110112021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45955450845 + ... + 45955451066.

It is an arithmetic number, because the mean of its divisors is an integer number (1746307136328).

Almost surely, 2^{10202110112121} is an apocalyptic number.

It is an amenable number.

10202110112121 is a deficient number, since it is larger than the sum of its proper divisors (3768346978503).

10202110112121 is an equidigital number, since it uses as much as digits as its factorization.

10202110112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91910901951.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10202110112121 its reverse (12121101120201), we get a palindrome (22323211232322).

The spelling of 10202110112121 in words is "ten trillion, two hundred two billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-one".