102220101211120 has 80 divisors (see below), whose sum is σ = 240121346652000. Its totient is φ = 40465754993664.

The previous prime is 102220101211079. The next prime is 102220101211159. The reversal of 102220101211120 is 21112101022201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102220101211120² (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 = 102220101211094 and 102220101211103.

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, 667146 + ... + 14313814.

It is an arithmetic number, because the mean of its divisors is an integer number (3001516833150).

Almost surely, 2^{102220101211120} is an apocalyptic number.

102220101211120 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 102220101211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120060673326000).

102220101211120 is an abundant number, since it is smaller than the sum of its proper divisors (137901245440880).

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

102220101211120 is a wasteful number, since it uses less digits than its factorization.

102220101211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13647650 (or 13647644 counting only the distinct ones).

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

Adding to 102220101211120 its reverse (21112101022201), we get a palindrome (123332202233321).

The spelling of 102220101211120 in words is "one hundred two trillion, two hundred twenty billion, one hundred one million, two hundred eleven thousand, one hundred twenty".