101030202303030 has 768 divisors, whose sum is σ = 362790363027456. Its totient is φ = 18824956968960.

The previous prime is 101030202302983. The next prime is 101030202303083. The reversal of 101030202303030 is 30303202030101.

101030202303030 is a `hidden beast` number, since 10 + 103 + 0 + 20 + 230 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101030202302994 and 101030202303012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2143307622 + ... + 2143354758.

It is an arithmetic number, because the mean of its divisors is an integer number (472383285192).

Almost surely, 2^{101030202303030} is an apocalyptic number.

101030202303030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030202303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181395181513728).

101030202303030 is an abundant number, since it is smaller than the sum of its proper divisors (261760160724426).

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

101030202303030 is a wasteful number, since it uses less digits than its factorization.

101030202303030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47861 (or 47858 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101030202303030 its reverse (30303202030101), we get a palindrome (131333404333131).

The spelling of 101030202303030 in words is "one hundred one trillion, thirty billion, two hundred two million, three hundred three thousand, thirty".