101333312022030 has 128 divisors (see below), whose sum is σ = 268262282737152. Its totient is φ = 24292795200000.

The previous prime is 101333312022029. The next prime is 101333312022031. The reversal of 101333312022030 is 30220213333101.

It is an interprime number because it is at equal distance from previous prime (101333312022029) and next prime (101333312022031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333312022031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25512345 + ... + 29215515.

It is an arithmetic number, because the mean of its divisors is an integer number (2095799083884).

Almost surely, 2^{101333312022030} is an apocalyptic number.

101333312022030 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 101333312022030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134131141368576).

101333312022030 is an abundant number, since it is smaller than the sum of its proper divisors (166928970715122).

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

101333312022030 is a wasteful number, since it uses less digits than its factorization.

101333312022030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704114.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101333312022030 its reverse (30220213333101), we get a palindrome (131553525355131).

The spelling of 101333312022030 in words is "one hundred one trillion, three hundred thirty-three billion, three hundred twelve million, twenty-two thousand, thirty".