101002131003030 has 256 divisors, whose sum is σ = 250669922420736. Its totient is φ = 26029593722880.

The previous prime is 101002131002893. The next prime is 101002131003031. The reversal of 101002131003030 is 30300131200101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002131003031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65036786734 + ... + 65036788286.

It is an arithmetic number, because the mean of its divisors is an integer number (979179384456).

Almost surely, 2^{101002131003030} is an apocalyptic number.

101002131003030 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 101002131003030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125334961210368).

101002131003030 is an abundant number, since it is smaller than the sum of its proper divisors (149667791417706).

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

101002131003030 is a wasteful number, since it uses less digits than its factorization.

101002131003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101002131003030 its reverse (30300131200101), we get a palindrome (131302262203131).

The spelling of 101002131003030 in words is "one hundred one trillion, two billion, one hundred thirty-one million, three thousand, thirty".