10100010101111 has 8 divisors (see below), whose sum is σ = 11657154516384. Its totient is φ = 8571437143200.

The previous prime is 10100010101101. The next prime is 10100010101117. The reversal of 10100010101111 is 11110101000101.

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 10100010101111 - 2²⁶ = 10099942992247 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 (10100010101117) 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, 7142863580 + ... + 7142864993.

It is an arithmetic number, because the mean of its divisors is an integer number (1457144314548).

Almost surely, 2^{10100010101111} is an apocalyptic number.

10100010101111 is a deficient number, since it is larger than the sum of its proper divisors (1557144415273).

10100010101111 is a wasteful number, since it uses less digits than its factorization.

10100010101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14285728681.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100010101111 its reverse (11110101000101), we get a palindrome (21210111101212).

The spelling of 10100010101111 in words is "ten trillion, one hundred billion, ten million, one hundred one thousand, one hundred eleven".