102213111130110 has 192 divisors, whose sum is σ = 289087371099072. Its totient is φ = 24951888580608.

The previous prime is 102213111130027. The next prime is 102213111130177. The reversal of 102213111130110 is 11031111312201.

102213111130110 is a `hidden beast` number, since 1 + 0 + 221 + 31 + 111 + 301 + 1 + 0 = 666.

It is a super-2 number, since 2×102213111130110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171627309 + ... + 172221831.

It is an arithmetic number, because the mean of its divisors is an integer number (1505663391141).

Almost surely, 2^{102213111130110} is an apocalyptic number.

102213111130110 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 102213111130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144543685549536).

102213111130110 is an abundant number, since it is smaller than the sum of its proper divisors (186874259968962).

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

102213111130110 is a wasteful number, since it uses less digits than its factorization.

102213111130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597627 (or 597624 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 102213111130110 its reverse (11031111312201), we get a palindrome (113244222442311).

The spelling of 102213111130110 in words is "one hundred two trillion, two hundred thirteen billion, one hundred eleven million, one hundred thirty thousand, one hundred ten".