101020000011101 has 8 divisors (see below), whose sum is σ = 101053265355000. Its totient is φ = 100986739273728.

The previous prime is 101020000011097. The next prime is 101020000011107. The reversal of 101020000011101 is 101110000020101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20333795508601 + 80686204502500 = 4509301^2 + 8982550^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101020000011101 - 2² = 101020000011097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020000011107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42993275 + ... + 45282023.

It is an arithmetic number, because the mean of its divisors is an integer number (12631658169375).

Almost surely, 2^{101020000011101} is an apocalyptic number.

It is an amenable number.

101020000011101 is a deficient number, since it is larger than the sum of its proper divisors (33265343899).

101020000011101 is a wasteful number, since it uses less digits than its factorization.

101020000011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303263.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101020000011101 its reverse (101110000020101), we get a palindrome (202130000031202).

The spelling of 101020000011101 in words is "one hundred one trillion, twenty billion, eleven thousand, one hundred one".