101023120110 has 128 divisors (see below), whose sum is σ = 276233379840. Its totient is φ = 23405571200.

The previous prime is 101023120097. The next prime is 101023120129. The reversal of 101023120110 is 11021320101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10006165 + ... + 10016255.

It is an arithmetic number, because the mean of its divisors is an integer number (2158073280).

Almost surely, 2^101023120110 is an apocalyptic number.

101023120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116689920).

101023120110 is an abundant number, since it is smaller than the sum of its proper divisors (175210259730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101023120110 is a wasteful number, since it uses less digits than its factorization.

101023120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101023120110 its reverse (11021320101), we get a palindrome (112044440211).

Subtracting from 101023120110 its reverse (11021320101), we obtain a square (90001800009 = 300003²).

The spelling of 101023120110 in words is "one hundred one billion, twenty-three million, one hundred twenty thousand, one hundred ten".