101101010010 has 512 divisors, whose sum is σ = 352274227200. Its totient is φ = 17871114240.

The previous prime is 101101009981. The next prime is 101101010011. The reversal of 101101010010 is 10010101101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (101101010011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21108696 + ... + 21113484.

It is an arithmetic number, because the mean of its divisors is an integer number (688035600).

Almost surely, 2^101101010010 is an apocalyptic number.

101101010010 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 101101010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176137113600).

101101010010 is an abundant number, since it is smaller than the sum of its proper divisors (251173217190).

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

101101010010 is a wasteful number, since it uses less digits than its factorization.

101101010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101101010010 its reverse (10010101101), we get a palindrome (111111111111).

The spelling of 101101010010 in words is "one hundred one billion, one hundred one million, ten thousand, ten".