101221110000110 has 32 divisors (see below), whose sum is σ = 182986293864672. Its totient is φ = 40313487639040.

The previous prime is 101221110000107. The next prime is 101221110000119. The reversal of 101221110000110 is 11000011122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221110000091 and 101221110000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221110000119) by changing a digit.

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, 10107647 + ... + 17452986.

It is an arithmetic number, because the mean of its divisors is an integer number (5718321683271).

Almost surely, 2^{101221110000110} is an apocalyptic number.

101221110000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221110000110 is a deficient number, since it is larger than the sum of its proper divisors (81765183864562).

101221110000110 is a wasteful number, since it uses less digits than its factorization.

101221110000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27562228.

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

Adding to 101221110000110 its reverse (11000011122101), we get a palindrome (112221121122211).

The spelling of 101221110000110 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred ten million, one hundred ten", and thus it is an aban number.