101010121101 has 48 divisors (see below), whose sum is σ = 151365919536. Its totient is φ = 64857397248.

The previous prime is 101010121087. The next prime is 101010121123. The reversal of 101010121101 is 101121010101.

It can be written as a sum of positive squares in 8 ways, for example, as 156875625 + 100853245476 = 12525^2 + 317574^2 .

It is not a de Polignac number, because 101010121101 - 2⁷ = 101010120973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010121171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45642871 + ... + 45645083.

It is an arithmetic number, because the mean of its divisors is an integer number (3153456657).

Almost surely, 2^101010121101 is an apocalyptic number.

It is an amenable number.

101010121101 is a deficient number, since it is larger than the sum of its proper divisors (50355798435).

101010121101 is a wasteful number, since it uses less digits than its factorization.

101010121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3579 counting only the distinct ones).

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

Adding to 101010121101 its reverse (101121010101), we get a palindrome (202131131202).

It can be divided in two parts, 101010 and 121101, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 101010121101 in words is "one hundred one billion, ten million, one hundred twenty-one thousand, one hundred one".