101000102112110 has 16 divisors (see below), whose sum is σ = 181806560360496. Its totient is φ = 40398623831808.

The previous prime is 101000102112103. The next prime is 101000102112121. The reversal of 101000102112110 is 11211201000101.

It is a junction number, because it is equal to n+sod(n) for n = 101000102112091 and 101000102112100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176827244 + ... + 177397503.

It is an arithmetic number, because the mean of its divisors is an integer number (11362910022531).

Almost surely, 2^{101000102112110} is an apocalyptic number.

101000102112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000102112110 is a deficient number, since it is larger than the sum of its proper divisors (80806458248386).

101000102112110 is a wasteful number, since it uses less digits than its factorization.

101000102112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354253267.

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

Adding to 101000102112110 its reverse (11211201000101), we get a palindrome (112211303112211).

The spelling of 101000102112110 in words is "one hundred one trillion, one hundred two million, one hundred twelve thousand, one hundred ten".