101011201101 has 24 divisors (see below), whose sum is σ = 147591347904. Its totient is φ = 66566522880.

The previous prime is 101011201099. The next prime is 101011201111. The reversal of 101011201101 is 101102110101.

It is not a de Polignac number, because 101011201101 - 2¹ = 101011201099 is a prime.

It is a super-3 number, since 3×101011201101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (101011201111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136320 + ... + 469686.

It is an arithmetic number, because the mean of its divisors is an integer number (6149639496).

Almost surely, 2^101011201101 is an apocalyptic number.

It is an amenable number.

101011201101 is a deficient number, since it is larger than the sum of its proper divisors (46580146803).

101011201101 is a wasteful number, since it uses less digits than its factorization.

101011201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333761 (or 333758 counting only the distinct ones).

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

Adding to 101011201101 its reverse (101102110101), we get a palindrome (202113311202).

The spelling of 101011201101 in words is "one hundred one billion, eleven million, two hundred one thousand, one hundred one".