190100820000 has 960 divisors, whose sum is σ = 789049223424. Its totient is φ = 38983680000.

The previous prime is 190100819977. The next prime is 190100820011. The reversal of 190100820000 is 28001091.

It is a super-2 number, since 2×190100820000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 202019530 + ... + 202020470.

Almost surely, 2^190100820000 is an apocalyptic number.

190100820000 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 190100820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394524611712).

190100820000 is an abundant number, since it is smaller than the sum of its proper divisors (598948403424).

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

190100820000 is a wasteful number, since it uses less digits than its factorization.

190100820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 190100820000 its reverse (28001091), we get a palindrome (190128821091).

The spelling of 190100820000 in words is "one hundred ninety billion, one hundred million, eight hundred twenty thousand".