10100101202121 has 24 divisors (see below), whose sum is σ = 15666226744224. Its totient is φ = 5771205054720.

The previous prime is 10100101202063. The next prime is 10100101202129. The reversal of 10100101202121 is 12120210100101.

10100101202121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100101202121 - 2²⁵ = 10100067647689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100101202097 and 10100101202106.

It is not an unprimeable number, because it can be changed into a prime (10100101202129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369866 + ... + 4698588.

It is an arithmetic number, because the mean of its divisors is an integer number (652759447676).

Almost surely, 2^{10100101202121} is an apocalyptic number.

It is an amenable number.

10100101202121 is a deficient number, since it is larger than the sum of its proper divisors (5566125542103).

10100101202121 is a wasteful number, since it uses less digits than its factorization.

10100101202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349381 (or 3349374 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100101202121 its reverse (12120210100101), we get a palindrome (22220311302222).

The spelling of 10100101202121 in words is "ten trillion, one hundred billion, one hundred one million, two hundred two thousand, one hundred twenty-one".