10101023023300 has 288 divisors, whose sum is σ = 26726838122880. Its totient is φ = 3265767014400.

The previous prime is 10101023023211. The next prime is 10101023023307. The reversal of 10101023023300 is 332032010101.

10101023023300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10101023023300² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101023023307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125380632 + ... + 125461168.

It is an arithmetic number, because the mean of its divisors is an integer number (92801521260).

Almost surely, 2^{10101023023300} is an apocalyptic number.

10101023023300 is a gapful number since it is divisible by the number (10) 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 10101023023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13363419061440).

10101023023300 is an abundant number, since it is smaller than the sum of its proper divisors (16625815099580).

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

10101023023300 is a wasteful number, since it uses less digits than its factorization.

10101023023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80951 (or 80944 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10101023023300 its reverse (332032010101), we get a palindrome (10433055033401).

The spelling of 10101023023300 in words is "ten trillion, one hundred one billion, twenty-three million, twenty-three thousand, three hundred".