101820051000 has 256 divisors, whose sum is σ = 353469916800. Its totient is φ = 27114048000.

The previous prime is 101820050999. The next prime is 101820051001. The reversal of 101820051000 is 150028101.

It is an interprime number because it is at equal distance from previous prime (101820050999) and next prime (101820051001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101820051001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23028790 + ... + 23033210.

Almost surely, 2^101820051000 is an apocalyptic number.

101820051000 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 101820051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176734958400).

101820051000 is an abundant number, since it is smaller than the sum of its proper divisors (251649865800).

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

101820051000 is a wasteful number, since it uses less digits than its factorization.

101820051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101820051000 its reverse (150028101), we get a palindrome (101970079101).

The spelling of 101820051000 in words is "one hundred one billion, eight hundred twenty million, fifty-one thousand".