101002112001110 has 32 divisors (see below), whose sum is σ = 181863520218432. Its totient is φ = 40387575195520.

The previous prime is 101002112001083. The next prime is 101002112001121. The reversal of 101002112001110 is 11100211200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002112001091 and 101002112001100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816598592 + ... + 816722268.

It is an arithmetic number, because the mean of its divisors is an integer number (5683235006826).

Almost surely, 2^{101002112001110} is an apocalyptic number.

101002112001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002112001110 is a deficient number, since it is larger than the sum of its proper divisors (80861408217322).

101002112001110 is a wasteful number, since it uses less digits than its factorization.

101002112001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149848.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101002112001110 its reverse (11100211200101), we get a palindrome (112102323201211).

The spelling of 101002112001110 in words is "one hundred one trillion, two billion, one hundred twelve million, one thousand, one hundred ten".