29011000111001 has 24 divisors (see below), whose sum is σ = 29827525562712. Its totient is φ = 28216245657600.

The previous prime is 29011000110973. The next prime is 29011000111021. The reversal of 29011000111001 is 10011100011092.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 28076009742400 + 934990368601 = 5298680^2 + 966949^2 .

It is not a de Polignac number, because 29011000111001 - 2¹⁴ = 29011000094617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29011000111021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056583865 + ... + 1056611321.

It is an arithmetic number, because the mean of its divisors is an integer number (1242813565113).

Almost surely, 2^{29011000111001} is an apocalyptic number.

It is an amenable number.

29011000111001 is a deficient number, since it is larger than the sum of its proper divisors (816525451711).

29011000111001 is a wasteful number, since it uses less digits than its factorization.

29011000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29453 (or 29412 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 29011000111001 its reverse (10011100011092), we get a palindrome (39022100122093).

The spelling of 29011000111001 in words is "twenty-nine trillion, eleven billion, one hundred eleven thousand, one".