10201211414415 has 48 divisors (see below), whose sum is σ = 20209247143488. Its totient is φ = 4663149447168.

The previous prime is 10201211414393. The next prime is 10201211414453. The reversal of 10201211414415 is 51441411210201.

10201211414415 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 211 + 4 + 1 + 441 + 5 = 666.

It is not a de Polignac number, because 10201211414415 - 2⁷ = 10201211414287 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4775167 + ... + 6573023.

It is an arithmetic number, because the mean of its divisors is an integer number (421025982156).

Almost surely, 2^{10201211414415} is an apocalyptic number.

10201211414415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10201211414415 is a deficient number, since it is larger than the sum of its proper divisors (10008035729073).

10201211414415 is a wasteful number, since it uses less digits than its factorization.

10201211414415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815888 (or 1815885 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 10201211414415 its reverse (51441411210201), we get a palindrome (61642622624616).

The spelling of 10201211414415 in words is "ten trillion, two hundred one billion, two hundred eleven million, four hundred fourteen thousand, four hundred fifteen".