101102131332300 has 216 divisors, whose sum is σ = 340320196769616. Its totient is φ = 23106389053440.

The previous prime is 101102131332299. The next prime is 101102131332329. The reversal of 101102131332300 is 3233131201101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128276224 + ... + 129061976.

It is an arithmetic number, because the mean of its divisors is an integer number (1575556466526).

Almost surely, 2^{101102131332300} is an apocalyptic number.

101102131332300 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 101102131332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170160098384808).

101102131332300 is an abundant number, since it is smaller than the sum of its proper divisors (239218065437316).

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

101102131332300 is a wasteful number, since it uses less digits than its factorization.

101102131332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794537 (or 794523 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101102131332300 its reverse (3233131201101), we get a palindrome (104335262533401).

The spelling of 101102131332300 in words is "one hundred one trillion, one hundred two billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred".