102013430101040 has 40 divisors (see below), whose sum is σ = 238062939626160. Its totient is φ = 40653679198976.

The previous prime is 102013430101021. The next prime is 102013430101081. The reversal of 102013430101040 is 40101034310201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2370178994 + ... + 2370222033.

It is an arithmetic number, because the mean of its divisors is an integer number (5951573490654).

Almost surely, 2^{102013430101040} is an apocalyptic number.

102013430101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013430101040 is an abundant number, since it is smaller than the sum of its proper divisors (136049509525120).

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

102013430101040 is a wasteful number, since it uses less digits than its factorization.

102013430101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740401309 (or 4740401303 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102013430101040 its reverse (40101034310201), we get a palindrome (142114464411241).

The spelling of 102013430101040 in words is "one hundred two trillion, thirteen billion, four hundred thirty million, one hundred one thousand, forty".