10100001011121 has 32 divisors (see below), whose sum is σ = 17100794265600. Its totient is φ = 5771340234000.

The previous prime is 10100001011069. The next prime is 10100001011123. The reversal of 10100001011121 is 12111010000101.

It is not a de Polignac number, because 10100001011121 - 2²⁹ = 10099464140209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100001011123) 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, 13050246 + ... + 13802496.

It is an arithmetic number, because the mean of its divisors is an integer number (534399820800).

Almost surely, 2^{10100001011121} is an apocalyptic number.

It is an amenable number.

10100001011121 is a deficient number, since it is larger than the sum of its proper divisors (7000793254479).

10100001011121 is an equidigital number, since it uses as much as digits as its factorization.

10100001011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823306 (or 823300 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100001011121 its reverse (12111010000101), we get a palindrome (22211011011222).

The spelling of 10100001011121 in words is "ten trillion, one hundred billion, one million, eleven thousand, one hundred twenty-one".