101201100101101 has 128 divisors (see below), whose sum is σ = 140060699541504. Its totient is φ = 70574976000000.

The previous prime is 101201100101081. The next prime is 101201100101113. The reversal of 101201100101101 is 101101001102101.

It is a cyclic number.

It is not a de Polignac number, because 101201100101101 - 2⁵ = 101201100101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201100101131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4459955166 + ... + 4459977856.

It is an arithmetic number, because the mean of its divisors is an integer number (1094224215168).

Almost surely, 2^{101201100101101} is an apocalyptic number.

101201100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201100101101 is a deficient number, since it is larger than the sum of its proper divisors (38859599440403).

101201100101101 is a wasteful number, since it uses less digits than its factorization.

101201100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23435.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101201100101101 its reverse (101101001102101), we get a palindrome (202302101203202).

The spelling of 101201100101101 in words is "one hundred one trillion, two hundred one billion, one hundred million, one hundred one thousand, one hundred one".