10101122202112 has 40 divisors (see below), whose sum is σ = 20382342641892. Its totient is φ = 5000555520000.

The previous prime is 10101122202013. The next prime is 10101122202121. The reversal of 10101122202112 is 21120222110101.

10101122202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6103745771776 + 3997376430336 = 2470576^2 + 1999344^2 .

It is a super-3 number, since 3×10101122202112³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97615389 + ... + 97718812.

Almost surely, 2^{10101122202112} is an apocalyptic number.

It is an amenable number.

10101122202112 is an abundant number, since it is smaller than the sum of its proper divisors (10281220439780).

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

10101122202112 is an equidigital number, since it uses as much as digits as its factorization.

10101122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195334320 (or 195334304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10101122202112 its reverse (21120222110101), we get a palindrome (31221344312213).

The spelling of 10101122202112 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".