102040201142412 has 192 divisors, whose sum is σ = 262229888471040. Its totient is φ = 30692534400000.

The previous prime is 102040201142287. The next prime is 102040201142413. The reversal of 102040201142412 is 214241102040201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102040201142413) 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, 2182608037 + ... + 2182654787.

It is an arithmetic number, because the mean of its divisors is an integer number (1365780669120).

Almost surely, 2^{102040201142412} is an apocalyptic number.

102040201142412 is a gapful number since it is divisible by the number (12) 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 102040201142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131114944235520).

102040201142412 is an abundant number, since it is smaller than the sum of its proper divisors (160189687328628).

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

102040201142412 is a wasteful number, since it uses less digits than its factorization.

102040201142412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48624 (or 48622 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102040201142412 its reverse (214241102040201), we get a palindrome (316281303182613).

The spelling of 102040201142412 in words is "one hundred two trillion, forty billion, two hundred one million, one hundred forty-two thousand, four hundred twelve".