10101100121101 has 16 divisors (see below), whose sum is σ = 11606818789440. Its totient is φ = 8693910040320.

The previous prime is 10101100121069. The next prime is 10101100121107. The reversal of 10101100121101 is 10112100110101.

It is a cyclic number.

It is not a de Polignac number, because 10101100121101 - 2⁵ = 10101100121069 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 (10101100121107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15235830 + ... + 15884983.

It is an arithmetic number, because the mean of its divisors is an integer number (725426174340).

Almost surely, 2^{10101100121101} is an apocalyptic number.

10101100121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101100121101 is a deficient number, since it is larger than the sum of its proper divisors (1505718668339).

10101100121101 is a wasteful number, since it uses less digits than its factorization.

10101100121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31122396.

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

Adding to 10101100121101 its reverse (10112100110101), we get a palindrome (20213200231202).

It can be divided in two parts, 10101100 and 121101, that added together give a palindrome (10222201).

The spelling of 10101100121101 in words is "ten trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred one".