101101121010 has 96 divisors (see below), whose sum is σ = 270078494400. Its totient is φ = 26220841344.

The previous prime is 101101120997. The next prime is 101101121053. The reversal of 101101121010 is 10121101101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101101120983 and 101101121001.

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 47 ways as a sum of consecutive naturals, for example, 10981069 + ... + 10990271.

It is an arithmetic number, because the mean of its divisors is an integer number (2813317650).

Almost surely, 2^101101121010 is an apocalyptic number.

101101121010 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 101101121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135039247200).

101101121010 is an abundant number, since it is smaller than the sum of its proper divisors (168977373390).

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

101101121010 is a wasteful number, since it uses less digits than its factorization.

101101121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552 (or 12549 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101121010 its reverse (10121101101), we get a palindrome (111222222111).

It can be divided in two parts, 101101 and 121010, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 101101121010 in words is "one hundred one billion, one hundred one million, one hundred twenty-one thousand, ten".