101011001011101 has 12 divisors (see below), whose sum is σ = 145904874363612. Its totient is φ = 67340623436736.

The previous prime is 101011001011091. The next prime is 101011001011103. The reversal of 101011001011101 is 101110100110101.

It can be written as a sum of positive squares in 2 ways, for example, as 74048176265625 + 26962824745476 = 8605125^2 + 5192574^2 .

It is not a de Polignac number, because 101011001011101 - 2¹³ = 101011001002909 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 (101011001011103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17128825 + ... + 22258001.

It is an arithmetic number, because the mean of its divisors is an integer number (12158739530301).

Almost surely, 2^{101011001011101} is an apocalyptic number.

It is an amenable number.

101011001011101 is a deficient number, since it is larger than the sum of its proper divisors (44893873352511).

101011001011101 is a wasteful number, since it uses less digits than its factorization.

101011001011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7317340 (or 7317337 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011001011101 its reverse (101110100110101), we get a palindrome (202121101121202).

The spelling of 101011001011101 in words is "one hundred one trillion, eleven billion, one million, eleven thousand, one hundred one".