101064632123 has 16 divisors (see below), whose sum is σ = 124726210560. Its totient is φ = 79745315616.

The previous prime is 101064632117. The next prime is 101064632147. The reversal of 101064632123 is 321236460101.

It is a cyclic number.

It is not a de Polignac number, because 101064632123 - 2¹⁸ = 101064369979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101064632183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1479683 + ... + 1546476.

It is an arithmetic number, because the mean of its divisors is an integer number (7795388160).

Almost surely, 2^101064632123 is an apocalyptic number.

101064632123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101064632123 is a deficient number, since it is larger than the sum of its proper divisors (23661578437).

101064632123 is a wasteful number, since it uses less digits than its factorization.

101064632123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026546.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 101064632123 in words is "one hundred one billion, sixty-four million, six hundred thirty-two thousand, one hundred twenty-three".