101102102000 has 80 divisors (see below), whose sum is σ = 244583601600. Its totient is φ = 40421203200.

The previous prime is 101102101993. The next prime is 101102102029. The reversal of 101102102000 is 201201101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4526861 + ... + 4549139.

It is an arithmetic number, because the mean of its divisors is an integer number (3057295020).

Almost surely, 2^101102102000 is an apocalyptic number.

101102102000 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 101102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122291800800).

101102102000 is an abundant number, since it is smaller than the sum of its proper divisors (143481499600).

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

101102102000 is a wasteful number, since it uses less digits than its factorization.

101102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24571 (or 24555 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101102102000 its reverse (201201101), we get a palindrome (101303303101).

The spelling of 101102102000 in words is "one hundred one billion, one hundred two million, one hundred two thousand".