101023120213300 has 36 divisors (see below), whose sum is σ = 219325111560940. Its totient is φ = 40389904177920.

The previous prime is 101023120213243. The next prime is 101023120213307. The reversal of 101023120213300 is 3312021320101.

It can be written as a sum of positive squares in 6 ways, for example, as 2048717019556 + 98974403193744 = 1431334^2 + 9948588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023120213307) 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 11 ways as a sum of consecutive naturals, for example, 241588899 + ... + 242006698.

Almost surely, 2^{101023120213300} is an apocalyptic number.

101023120213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023120213300 is an abundant number, since it is smaller than the sum of its proper divisors (118301991347640).

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

101023120213300 is a wasteful number, since it uses less digits than its factorization.

101023120213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483597700 (or 483597693 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101023120213300 its reverse (3312021320101), we get a palindrome (104335141533401).

The spelling of 101023120213300 in words is "one hundred one trillion, twenty-three billion, one hundred twenty million, two hundred thirteen thousand, three hundred".