10100121000011 has 16 divisors (see below), whose sum is σ = 11662314901440. Its totient is φ = 8567761858560.

The previous prime is 10100121000001. The next prime is 10100121000037. The reversal of 10100121000011 is 11000012100101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100121000011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100121000001) 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, 27335681 + ... + 27702701.

It is an arithmetic number, because the mean of its divisors is an integer number (728894681340).

Almost surely, 2^{10100121000011} is an apocalyptic number.

10100121000011 is a deficient number, since it is larger than the sum of its proper divisors (1562193901429).

10100121000011 is an equidigital number, since it uses as much as digits as its factorization.

10100121000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407654.

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

Adding to 10100121000011 its reverse (11000012100101), we get a palindrome (21100133100112).

The spelling of 10100121000011 in words is "ten trillion, one hundred billion, one hundred twenty-one million, eleven", and thus it is an aban number.