101050000000 has 288 divisors, whose sum is σ = 262968615360. Its totient is φ = 38640000000.

The previous prime is 101049999991. The next prime is 101050000001. The reversal of 101050000000 is 50101.

It is a super-2 number, since 2×101050000000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101050000001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2149999977 + ... + 2150000023.

It is an arithmetic number, because the mean of its divisors is an integer number (913085470).

Almost surely, 2^101050000000 is an apocalyptic number.

101050000000 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 101050000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131484307680).

101050000000 is an abundant number, since it is smaller than the sum of its proper divisors (161918615360).

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

101050000000 is an frugal number, since it uses more digits than its factorization.

101050000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

Adding to 101050000000 its reverse (50101), we get a palindrome (101050050101).

The spelling of 101050000000 in words is "one hundred one billion, fifty million", and thus it is an aban number.