102220111201120 has 96 divisors (see below), whose sum is σ = 263451324872736. Its totient is φ = 37170636288000.

The previous prime is 102220111201099. The next prime is 102220111201181. The reversal of 102220111201120 is 21102111022201.

It is a super-2 number, since 2×102220111201120² (a number of 29 digits) contains 22 as substring.

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 = 102220111201094 and 102220111201103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355730142 + ... + 356017378.

It is an arithmetic number, because the mean of its divisors is an integer number (2744284634091).

Almost surely, 2^{102220111201120} is an apocalyptic number.

102220111201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220111201120 is an abundant number, since it is smaller than the sum of its proper divisors (161231213671616).

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

102220111201120 is a wasteful number, since it uses less digits than its factorization.

102220111201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489464 (or 489456 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102220111201120 its reverse (21102111022201), we get a palindrome (123322222223321).

The spelling of 102220111201120 in words is "one hundred two trillion, two hundred twenty billion, one hundred eleven million, two hundred one thousand, one hundred twenty".