101030023296 has 96 divisors (see below), whose sum is σ = 291549171420. Its totient is φ = 33581137920.

The previous prime is 101030023273. The next prime is 101030023319. The reversal of 101030023296 is 692320030101.

It is an interprime number because it is at equal distance from previous prime (101030023273) and next prime (101030023319).

It can be written as a sum of positive squares in 2 ways, for example, as 91605496896 + 9424526400 = 302664^2 + 97080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282436 + ... + 530876.

Almost surely, 2^101030023296 is an apocalyptic number.

101030023296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145774585710).

101030023296 is an abundant number, since it is smaller than the sum of its proper divisors (190519148124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101030023296 is a wasteful number, since it uses less digits than its factorization.

101030023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248814 (or 248799 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101030023296 its reverse (692320030101), we get a palindrome (793350053397).

The spelling of 101030023296 in words is "one hundred one billion, thirty million, twenty-three thousand, two hundred ninety-six".