101023302010100 has 72 divisors (see below), whose sum is σ = 229473510755328. Its totient is φ = 38530461692800.

The previous prime is 101023302010079. The next prime is 101023302010109. The reversal of 101023302010100 is 1010203320101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023302010109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68550356 + ... + 70008555.

It is an arithmetic number, because the mean of its divisors is an integer number (3187132093824).

Almost surely, 2^{101023302010100} is an apocalyptic number.

101023302010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023302010100 is an abundant number, since it is smaller than the sum of its proper divisors (128450208745228).

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

101023302010100 is a wasteful number, since it uses less digits than its factorization.

101023302010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138559265 (or 138559258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101023302010100 its reverse (1010203320101), we get a palindrome (102033505330201).

The spelling of 101023302010100 in words is "one hundred one trillion, twenty-three billion, three hundred two million, ten thousand, one hundred".