102011331031300 has 576 divisors, whose sum is σ = 244474752614400. Its totient is φ = 36821165068800.

The previous prime is 102011331031277. The next prime is 102011331031331. The reversal of 102011331031300 is 3130133110201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202805826849 + ... + 202805827351.

It is an arithmetic number, because the mean of its divisors is an integer number (424435334400).

Almost surely, 2^{102011331031300} is an apocalyptic number.

102011331031300 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 102011331031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122237376307200).

102011331031300 is an abundant number, since it is smaller than the sum of its proper divisors (142463421583100).

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

102011331031300 is a wasteful number, since it uses less digits than its factorization.

102011331031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 102011331031300 its reverse (3130133110201), we get a palindrome (105141464141501).

The spelling of 102011331031300 in words is "one hundred two trillion, eleven billion, three hundred thirty-one million, thirty-one thousand, three hundred".