101020112020110 has 32 divisors (see below), whose sum is σ = 242452302769152. Its totient is φ = 26938248325280.

The previous prime is 101020112020099. The next prime is 101020112020111. The reversal of 101020112020110 is 11020211020101.

It is a super-3 number, since 3×101020112020110³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020112020111) 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, 26178246 + ... + 29788265.

It is an arithmetic number, because the mean of its divisors is an integer number (7576634461536).

Almost surely, 2^{101020112020110} is an apocalyptic number.

101020112020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101020112020110 is an abundant number, since it is smaller than the sum of its proper divisors (141432190749042).

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

101020112020110 is a wasteful number, since it uses less digits than its factorization.

101020112020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56026688.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101020112020110 its reverse (11020211020101), we get a palindrome (112040323040211).

It can be divided in two parts, 10102011 and 2020110, that added together give a palindrome (12122121).

The spelling of 101020112020110 in words is "one hundred one trillion, twenty billion, one hundred twelve million, twenty thousand, one hundred ten".