101033103030 has 128 divisors (see below), whose sum is σ = 261951418368. Its totient is φ = 24876352512.

The previous prime is 101033103029. The next prime is 101033103049. The reversal of 101033103030 is 30301330101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2346052 + ... + 2388728.

It is an arithmetic number, because the mean of its divisors is an integer number (2046495456).

Almost surely, 2^101033103030 is an apocalyptic number.

101033103030 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 101033103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130975709184).

101033103030 is an abundant number, since it is smaller than the sum of its proper divisors (160918315338).

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

101033103030 is a wasteful number, since it uses less digits than its factorization.

101033103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42830.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 101033103030 its reverse (30301330101), we get a palindrome (131334433131).

The spelling of 101033103030 in words is "one hundred one billion, thirty-three million, one hundred three thousand, thirty".