101431622573655 has 32 divisors (see below), whose sum is σ = 186362407031040. Its totient is φ = 46590601754880.

The previous prime is 101431622573621. The next prime is 101431622573719. The reversal of 101431622573655 is 556375226134101.

It is not a de Polignac number, because 101431622573655 - 2⁶ = 101431622573591 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101431622573598 and 101431622573607.

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 31 ways as a sum of consecutive naturals, for example, 16177289142 + ... + 16177295411.

It is an arithmetic number, because the mean of its divisors is an integer number (5823825219720).

Almost surely, 2^{101431622573655} is an apocalyptic number.

101431622573655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101431622573655 is a deficient number, since it is larger than the sum of its proper divisors (84930784457385).

101431622573655 is a wasteful number, since it uses less digits than its factorization.

101431622573655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32354584591.

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 101431622573655 in words is "one hundred one trillion, four hundred thirty-one billion, six hundred twenty-two million, five hundred seventy-three thousand, six hundred fifty-five".