110102210102112 has 48 divisors (see below), whose sum is σ = 289038648471552. Its totient is φ = 36698152960640.

The previous prime is 110102210102023. The next prime is 110102210102113. The reversal of 110102210102112 is 211201012201011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×110102210102112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110102210102091 and 110102210102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102210102113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38999964 + ... + 41727707.

It is an arithmetic number, because the mean of its divisors is an integer number (6021638509824).

Almost surely, 2^{110102210102112} is an apocalyptic number.

110102210102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110102210102112 is an abundant number, since it is smaller than the sum of its proper divisors (178936438369440).

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

110102210102112 is a wasteful number, since it uses less digits than its factorization.

110102210102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80741891 (or 80741883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110102210102112 its reverse (211201012201011), we get a palindrome (321303222303123).

The spelling of 110102210102112 in words is "one hundred ten trillion, one hundred two billion, two hundred ten million, one hundred two thousand, one hundred twelve".