102102011000 has 256 divisors, whose sum is σ = 272381616000. Its totient is φ = 35481600000.

The previous prime is 102102010957. The next prime is 102102011021. The reversal of 102102011000 is 110201201.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32217416 + ... + 32220584.

Almost surely, 2^102102011000 is an apocalyptic number.

102102011000 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 102102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136190808000).

102102011000 is an abundant number, since it is smaller than the sum of its proper divisors (170279605000).

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

102102011000 is a wasteful number, since it uses less digits than its factorization.

102102011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3317 counting only the distinct ones).

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

Adding to 102102011000 its reverse (110201201), we get a palindrome (102212212201).

It can be divided in two parts, 10210201 and 1000, that added together give a palindrome (10211201).

The spelling of 102102011000 in words is "one hundred two billion, one hundred two million, eleven thousand".