20102202121120 has 144 divisors (see below), whose sum is σ = 55247504433408. Its totient is φ = 6891890987520.

The previous prime is 20102202121081. The next prime is 20102202121277. The reversal of 20102202121120 is 2112120220102.

It is a happy number.

It is a super-2 number, since 2×20102202121120² (a number of 27 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 = 20102202121094 and 20102202121103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270215449 + ... + 270289831.

It is an arithmetic number, because the mean of its divisors is an integer number (383663225232).

Almost surely, 2^{20102202121120} is an apocalyptic number.

20102202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102202121120 is an abundant number, since it is smaller than the sum of its proper divisors (35145302312288).

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

20102202121120 is a wasteful number, since it uses less digits than its factorization.

20102202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108883 (or 108868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20102202121120 its reverse (2112120220102), we get a palindrome (22214322341222).

The spelling of 20102202121120 in words is "twenty trillion, one hundred two billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".