102211021111120 has 40 divisors (see below), whose sum is σ = 237651292888416. Its totient is φ = 40882572951168.

The previous prime is 102211021111049. The next prime is 102211021111141. The reversal of 102211021111120 is 21111120112201.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102211021111094 and 102211021111103.

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, 26885802 + ... + 30451081.

Almost surely, 2^{102211021111120} is an apocalyptic number.

102211021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211021111120 is an abundant number, since it is smaller than the sum of its proper divisors (135440271777296).

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

102211021111120 is a wasteful number, since it uses less digits than its factorization.

102211021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57359179 (or 57359173 counting only the distinct ones).

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

Adding to 102211021111120 its reverse (21111120112201), we get a palindrome (123322141223321).

The spelling of 102211021111120 in words is "one hundred two trillion, two hundred eleven billion, twenty-one million, one hundred eleven thousand, one hundred twenty".