10121100011 has 16 divisors (see below), whose sum is σ = 11161778400. Its totient is φ = 9100704000.

The previous prime is 10121099999. The next prime is 10121100019. The reversal of 10121100011 is 11000112101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10121100011 - 2¹⁴ = 10121083627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121100019) 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, 1250285 + ... + 1258353.

It is an arithmetic number, because the mean of its divisors is an integer number (697611150).

Almost surely, 2^10121100011 is an apocalyptic number.

10121100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121100011 is a deficient number, since it is larger than the sum of its proper divisors (1040678389).

10121100011 is a wasteful number, since it uses less digits than its factorization.

10121100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10121100011 its reverse (11000112101), we get a palindrome (21121212112).

It can be divided in two parts, 101 and 21100011, that added together give a palindrome (21100112).

The spelling of 10121100011 in words is "ten billion, one hundred twenty-one million, one hundred thousand, eleven".