101023103332032 has 168 divisors, whose sum is σ = 327294238415040. Its totient is φ = 27344599349760.

The previous prime is 101023103331967. The next prime is 101023103332049. The reversal of 101023103332032 is 230233301320101.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101023103331993 and 101023103332011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282400194 + ... + 282757697.

Almost surely, 2^{101023103332032} is an apocalyptic number.

101023103332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101023103332032 is an abundant number, since it is smaller than the sum of its proper divisors (226271135083008).

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

101023103332032 is a wasteful number, since it uses less digits than its factorization.

101023103332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565157939 (or 565157922 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101023103332032 its reverse (230233301320101), we get a palindrome (331256404652133).

The spelling of 101023103332032 in words is "one hundred one trillion, twenty-three billion, one hundred three million, three hundred thirty-two thousand, thirty-two".