110102111111120 has 40 divisors (see below), whose sum is σ = 256003314129864. Its totient is φ = 44038107963392.

The previous prime is 110102111111119. The next prime is 110102111111171. The reversal of 110102111111120 is 21111111201011.

It can be written as a sum of positive squares in 4 ways, for example, as 2385776803216 + 107716334307904 = 1544596^2 + 10378648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×110102111111120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110102111111095 and 110102111111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41461709 + ... + 44037228.

Almost surely, 2^{110102111111120} is an apocalyptic number.

110102111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102111111120 is an abundant number, since it is smaller than the sum of its proper divisors (145901203018744).

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

110102111111120 is a wasteful number, since it uses less digits than its factorization.

110102111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85515047 (or 85515041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110102111111120 its reverse (21111111201011), we get a palindrome (131213222312131).

The spelling of 110102111111120 in words is "one hundred ten trillion, one hundred two billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".