101224002135 has 32 divisors (see below), whose sum is σ = 162987284160. Its totient is φ = 53643829248.

The previous prime is 101224002107. The next prime is 101224002151. The reversal of 101224002135 is 531200422101.

It is not a de Polignac number, because 101224002135 - 2¹⁰ = 101224001111 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518981 + ... + 2558849.

It is an arithmetic number, because the mean of its divisors is an integer number (5093352630).

Almost surely, 2^101224002135 is an apocalyptic number.

101224002135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101224002135 is a deficient number, since it is larger than the sum of its proper divisors (61763282025).

101224002135 is a wasteful number, since it uses less digits than its factorization.

101224002135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40947.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 101224002135 its reverse (531200422101), we get a palindrome (632424424236).

The spelling of 101224002135 in words is "one hundred one billion, two hundred twenty-four million, two thousand, one hundred thirty-five".