102211110111220 has 96 divisors (see below), whose sum is σ = 236547602798976. Its totient is φ = 36788341056000.

The previous prime is 102211110111211. The next prime is 102211110111307. The reversal of 102211110111220 is 22111011112201.

It is a super-2 number, since 2×102211110111220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211110111194 and 102211110111203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71574627 + ... + 72988693.

It is an arithmetic number, because the mean of its divisors is an integer number (2464037529156).

Almost surely, 2^{102211110111220} is an apocalyptic number.

102211110111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211110111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118273801399488).

102211110111220 is an abundant number, since it is smaller than the sum of its proper divisors (134336492687756).

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

102211110111220 is a wasteful number, since it uses less digits than its factorization.

102211110111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417441 (or 1417439 counting only the distinct ones).

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

Adding to 102211110111220 its reverse (22111011112201), we get a palindrome (124322121223421).

The spelling of 102211110111220 in words is "one hundred two trillion, two hundred eleven billion, one hundred ten million, one hundred eleven thousand, two hundred twenty".