101101000010101 has 64 divisors (see below), whose sum is σ = 136069742592000. Its totient is φ = 72821472353280.

The previous prime is 101101000010071. The next prime is 101101000010113. The reversal of 101101000010101 is 101010000101101.

It is a happy number.

It is not a de Polignac number, because 101101000010101 - 2⁵ = 101101000010069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000010501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95338740 + ... + 96393346.

It is an arithmetic number, because the mean of its divisors is an integer number (2126089728000).

Almost surely, 2^{101101000010101} is an apocalyptic number.

It is an amenable number.

101101000010101 is a deficient number, since it is larger than the sum of its proper divisors (34968742581899).

101101000010101 is a wasteful number, since it uses less digits than its factorization.

101101000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056674.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101000010101 its reverse (101010000101101), we get a palindrome (202111000111202).

The spelling of 101101000010101 in words is "one hundred one trillion, one hundred one billion, ten thousand, one hundred one".