101102121100012 has 12 divisors (see below), whose sum is σ = 176928861589200. Its totient is φ = 50551017788816.

The previous prime is 101102121100009. The next prime is 101102121100021. The reversal of 101102121100012 is 210001121201101.

It is a happy number.

101102121100012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101102121099965 and 101102121100001.

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, 5038528 + ... + 15086119.

It is an arithmetic number, because the mean of its divisors is an integer number (14744071799100).

Almost surely, 2^{101102121100012} is an apocalyptic number.

It is an amenable number.

101102121100012 is a deficient number, since it is larger than the sum of its proper divisors (75826740489188).

101102121100012 is a wasteful number, since it uses less digits than its factorization.

101102121100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21380600 (or 21380598 counting only the distinct ones).

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

Adding to 101102121100012 its reverse (210001121201101), we get a palindrome (311103242301113).

The spelling of 101102121100012 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, one hundred thousand, twelve".