10100011121101 has 32 divisors (see below), whose sum is σ = 11332681113600. Its totient is φ = 8921595312000.

The previous prime is 10100011121099. The next prime is 10100011121113. The reversal of 10100011121101 is 10112111000101.

It is a cyclic number.

It is not a de Polignac number, because 10100011121101 - 2¹ = 10100011121099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011121171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376305040 + ... + 376331878.

It is an arithmetic number, because the mean of its divisors is an integer number (354146284800).

Almost surely, 2^{10100011121101} is an apocalyptic number.

10100011121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100011121101 is a deficient number, since it is larger than the sum of its proper divisors (1232669992499).

10100011121101 is a wasteful number, since it uses less digits than its factorization.

10100011121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30241.

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

Adding to 10100011121101 its reverse (10112111000101), we get a palindrome (20212122121202).

The spelling of 10100011121101 in words is "ten trillion, one hundred billion, eleven million, one hundred twenty-one thousand, one hundred one".