20102200002120 has 256 divisors, whose sum is σ = 62515405290240. Its totient is φ = 5167002451968.

The previous prime is 20102200002119. The next prime is 20102200002127. The reversal of 20102200002120 is 2120000220102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20102200002096 and 20102200002105.

It is not an unprimeable number, because it can be changed into a prime (20102200002127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1152442119 + ... + 1152459561.

It is an arithmetic number, because the mean of its divisors is an integer number (244200801915).

Almost surely, 2^{20102200002120} is an apocalyptic number.

20102200002120 is a gapful number since it is divisible by the number (20) 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 20102200002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31257702645120).

20102200002120 is an abundant number, since it is smaller than the sum of its proper divisors (42413205288120).

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

20102200002120 is a wasteful number, since it uses less digits than its factorization.

20102200002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19904 (or 19900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20102200002120 its reverse (2120000220102), we get a palindrome (22222200222222).

The spelling of 20102200002120 in words is "twenty trillion, one hundred two billion, two hundred million, two thousand, one hundred twenty".