202202111002120 has 128 divisors (see below), whose sum is σ = 475064919907200. Its totient is φ = 77358185261056.

The previous prime is 202202111002117. The next prime is 202202111002141. The reversal of 202202111002120 is 21200111202202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202202111002094 and 202202111002103.

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, 4910538972 + ... + 4910580148.

It is an arithmetic number, because the mean of its divisors is an integer number (3711444686775).

Almost surely, 2^{202202111002120} is an apocalyptic number.

202202111002120 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 202202111002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237532459953600).

202202111002120 is an abundant number, since it is smaller than the sum of its proper divisors (272862808905080).

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

202202111002120 is a wasteful number, since it uses less digits than its factorization.

202202111002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80887 (or 80883 counting only the distinct ones).

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

Adding to 202202111002120 its reverse (21200111202202), we get a palindrome (223402222204322).

The spelling of 202202111002120 in words is "two hundred two trillion, two hundred two billion, one hundred eleven million, two thousand, one hundred twenty".