202100101140 has 288 divisors, whose sum is σ = 673060268160. Its totient is φ = 45166657536.

The previous prime is 202100101057. The next prime is 202100101141. The reversal of 202100101140 is 41101001202.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100101141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26982516 + ... + 26990004.

It is an arithmetic number, because the mean of its divisors is an integer number (2337014820).

Almost surely, 2^202100101140 is an apocalyptic number.

202100101140 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 202100101140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336530134080).

202100101140 is an abundant number, since it is smaller than the sum of its proper divisors (470960167020).

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

202100101140 is a wasteful number, since it uses less digits than its factorization.

202100101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202100101140 its reverse (41101001202), we get a palindrome (243201102342).

The spelling of 202100101140 in words is "two hundred two billion, one hundred million, one hundred one thousand, one hundred forty".