102012111011140 has 192 divisors, whose sum is σ = 247933597040640. Its totient is φ = 34844726845440.

The previous prime is 102012111011137. The next prime is 102012111011183. The reversal of 102012111011140 is 41110111210201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4195082262 + ... + 4195106578.

It is an arithmetic number, because the mean of its divisors is an integer number (1291320817920).

Almost surely, 2^{102012111011140} is an apocalyptic number.

102012111011140 is a gapful number since it is divisible by the number (10) 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 102012111011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123966798520320).

102012111011140 is an abundant number, since it is smaller than the sum of its proper divisors (145921486029500).

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

102012111011140 is a wasteful number, since it uses less digits than its factorization.

102012111011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26510 (or 26508 counting only the distinct ones).

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

Adding to 102012111011140 its reverse (41110111210201), we get a palindrome (143122222221341).

The spelling of 102012111011140 in words is "one hundred two trillion, twelve billion, one hundred eleven million, eleven thousand, one hundred forty".