10102012101112 has 8 divisors (see below), whose sum is σ = 18941272689600. Its totient is φ = 5051006050552.

The previous prime is 10102012101107. The next prime is 10102012101127. The reversal of 10102012101112 is 21110121020101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×10102012101112³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102012101092 and 10102012101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 631375756312 + ... + 631375756327.

It is an arithmetic number, because the mean of its divisors is an integer number (2367659086200).

Almost surely, 2^{10102012101112} is an apocalyptic number.

It is an amenable number.

10102012101112 is a deficient number, since it is larger than the sum of its proper divisors (8839260588488).

10102012101112 is a wasteful number, since it uses less digits than its factorization.

10102012101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262751512645 (or 1262751512641 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102012101112 its reverse (21110121020101), we get a palindrome (31212133121213).

The spelling of 10102012101112 in words is "ten trillion, one hundred two billion, twelve million, one hundred one thousand, one hundred twelve".