100101121110 has 48 divisors (see below), whose sum is σ = 269902288656. Its totient is φ = 26693631648.

The previous prime is 100101121069. The next prime is 100101121139. The reversal of 100101121110 is 11121101001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101121092 and 100101121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20594509 + ... + 20599368.

It is an arithmetic number, because the mean of its divisors is an integer number (5622964347).

Almost surely, 2^100101121110 is an apocalyptic number.

100101121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101121110 is an abundant number, since it is smaller than the sum of its proper divisors (169801167546).

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

100101121110 is an equidigital number, since it uses as much as digits as its factorization.

100101121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41193899 (or 41193887 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101121110 its reverse (11121101001), we get a palindrome (111222222111).

It can be divided in two parts, 1001011 and 21110, that added together give a square (1022121 = 1011²).

The spelling of 100101121110 in words is "one hundred billion, one hundred one million, one hundred twenty-one thousand, one hundred ten".