10121111022012 has 12 divisors (see below), whose sum is σ = 23615925718056. Its totient is φ = 3373703674000.

The previous prime is 10121111022007. The next prime is 10121111022017. The reversal of 10121111022012 is 21022011112101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10121111022007) and next prime (10121111022017).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10121111022012² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121111021982 and 10121111022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121111022017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421712959239 + ... + 421712959262.

It is an arithmetic number, because the mean of its divisors is an integer number (1967993809838).

Almost surely, 2^{10121111022012} is an apocalyptic number.

10121111022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121111022012 is an abundant number, since it is smaller than the sum of its proper divisors (13494814696044).

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

10121111022012 is a wasteful number, since it uses less digits than its factorization.

10121111022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843425918508 (or 843425918506 counting only the distinct ones).

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

Adding to 10121111022012 its reverse (21022011112101), we get a palindrome (31143122134113).

The spelling of 10121111022012 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, twenty-two thousand, twelve".