102022011000 has 640 divisors, whose sum is σ = 438953074560. Its totient is φ = 21523968000.

The previous prime is 102022010989. The next prime is 102022011023. The reversal of 102022011000 is 110220201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 159 ways as a sum of consecutive naturals, for example, 7364080 + ... + 7377920.

It is an arithmetic number, because the mean of its divisors is an integer number (685864179).

Almost surely, 2^102022011000 is an apocalyptic number.

102022011000 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 102022011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219476537280).

102022011000 is an abundant number, since it is smaller than the sum of its proper divisors (336931063560).

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

102022011000 is a wasteful number, since it uses less digits than its factorization.

102022011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13894 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102022011000 its reverse (110220201), we get a palindrome (102132231201).

It can be divided in two parts, 10202 and 2011000, that added together give a palindrome (2021202).

The spelling of 102022011000 in words is "one hundred two billion, twenty-two million, eleven thousand".