1010100101101 has 16 divisors (see below), whose sum is σ = 1286069097600. Its totient is φ = 771641454528.

The previous prime is 1010100101057. The next prime is 1010100101107. The reversal of 1010100101101 is 1011010010101.

It is a happy number.

It is not a de Polignac number, because 1010100101101 - 2¹⁵ = 1010100068333 is a prime.

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

1010100101101 is a modest number, since divided by 101101 gives 10101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100101107) 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, 191376691 + ... + 191381968.

It is an arithmetic number, because the mean of its divisors is an integer number (80379318600).

Almost surely, 2^{1010100101101} is an apocalyptic number.

It is an amenable number.

1010100101101 is a deficient number, since it is larger than the sum of its proper divisors (275968996499).

1010100101101 is a wasteful number, since it uses less digits than its factorization.

1010100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382758708.

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

Adding to 1010100101101 its reverse (1011010010101), we get a palindrome (2021110111202).

The spelling of 1010100101101 in words is "one trillion, ten billion, one hundred million, one hundred one thousand, one hundred one".