20114102140 has 192 divisors, whose sum is σ = 49746493440. Its totient is φ = 6758216960.

The previous prime is 20114102087. The next prime is 20114102147. The reversal of 20114102140 is 4120141102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20114102147) 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, 19738551 + ... + 19739569.

It is an arithmetic number, because the mean of its divisors is an integer number (259096320).

Almost surely, 2^20114102140 is an apocalyptic number.

20114102140 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 20114102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873246720).

20114102140 is an abundant number, since it is smaller than the sum of its proper divisors (29632391300).

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

20114102140 is a wasteful number, since it uses less digits than its factorization.

20114102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

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

Adding to 20114102140 its reverse (4120141102), we get a palindrome (24234243242).

The spelling of 20114102140 in words is "twenty billion, one hundred fourteen million, one hundred two thousand, one hundred forty".