102011464213461 has 12 divisors (see below), whose sum is σ = 160745337548640. Its totient is φ = 61825129826280.

The previous prime is 102011464213423. The next prime is 102011464213499. The reversal of 102011464213461 is 164312464110201.

102011464213461 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 1 + 4 + 642 + 1 + 3 + 4 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102011464213423) and next prime (102011464213499).

It is not a de Polignac number, because 102011464213461 - 2⁷ = 102011464213333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011464213361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515209415121 + ... + 515209415318.

It is an arithmetic number, because the mean of its divisors is an integer number (13395444795720).

Almost surely, 2^{102011464213461} is an apocalyptic number.

102011464213461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102011464213461 is a deficient number, since it is larger than the sum of its proper divisors (58733873335179).

102011464213461 is a wasteful number, since it uses less digits than its factorization.

102011464213461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030418830456 (or 1030418830453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 102011464213461 in words is "one hundred two trillion, eleven billion, four hundred sixty-four million, two hundred thirteen thousand, four hundred sixty-one".