101332311102 has 96 divisors (see below), whose sum is σ = 241323473664. Its totient is φ = 30475209600.

The previous prime is 101332311083. The next prime is 101332311133. The reversal of 101332311102 is 201113233101.

101332311102 is a `hidden beast` number, since 10 + 1 + 332 + 311 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25161213 + ... + 25165239.

It is an arithmetic number, because the mean of its divisors is an integer number (2513786184).

Almost surely, 2^101332311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101332311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120661736832).

101332311102 is an abundant number, since it is smaller than the sum of its proper divisors (139991162562).

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

101332311102 is a wasteful number, since it uses less digits than its factorization.

101332311102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101332311102 its reverse (201113233101), we get a palindrome (302445544203).

The spelling of 101332311102 in words is "one hundred one billion, three hundred thirty-two million, three hundred eleven thousand, one hundred two".