101000000010 has 384 divisors, whose sum is σ = 315814028544. Its totient is φ = 20472238080.

The previous prime is 100999999999. The next prime is 101000000011. The reversal of 101000000010 is 10000000101.

101000000010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a junction number, because it is equal to n+sod(n) for n = 100999999941 and 101000000004.

It is not an unprimeable number, because it can be changed into a prime (101000000011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58685950 + ... + 58687670.

It is an arithmetic number, because the mean of its divisors is an integer number (822432366).

Almost surely, 2^101000000010 is an apocalyptic number.

101000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157907014272).

101000000010 is an abundant number, since it is smaller than the sum of its proper divisors (214814028534).

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

101000000010 is a wasteful number, since it uses less digits than its factorization.

101000000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 101000000010 its reverse (10000000101), we get a palindrome (111000000111).

Subtracting from 101000000010 its reverse (10000000101), we obtain a palindrome (90999999909).

The spelling of 101000000010 in words is "one hundred one billion, ten", and thus it is an aban number.