202010101120 has 256 divisors, whose sum is σ = 498760416000. Its totient is φ = 78216192000.

The previous prime is 202010101109. The next prime is 202010101123. The reversal of 202010101120 is 21101010202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202010101097 and 202010101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202010101123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804820995 + ... + 804821245.

It is an arithmetic number, because the mean of its divisors is an integer number (1948282875).

Almost surely, 2^202010101120 is an apocalyptic number.

202010101120 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 202010101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249380208000).

202010101120 is an abundant number, since it is smaller than the sum of its proper divisors (296750314880).

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

202010101120 is a wasteful number, since it uses less digits than its factorization.

202010101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202010101120 its reverse (21101010202), we get a palindrome (223111111322).

The spelling of 202010101120 in words is "two hundred two billion, ten million, one hundred one thousand, one hundred twenty".