10101201011121 has 48 divisors (see below), whose sum is σ = 15134148993600. Its totient is φ = 5943204126720.

The previous prime is 10101201011113. The next prime is 10101201011137. The reversal of 10101201011121 is 12111010210101.

It is not a de Polignac number, because 10101201011121 - 2³ = 10101201011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101201011097 and 10101201011106.

It is not an unprimeable number, because it can be changed into a prime (10101201011171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20035485 + ... + 20533461.

It is an arithmetic number, because the mean of its divisors is an integer number (315294770700).

Almost surely, 2^{10101201011121} is an apocalyptic number.

10101201011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101201011121 is a deficient number, since it is larger than the sum of its proper divisors (5032947982479).

10101201011121 is a wasteful number, since it uses less digits than its factorization.

10101201011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498514 (or 498477 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10101201011121 its reverse (12111010210101), we get a palindrome (22212211221222).

The spelling of 10101201011121 in words is "ten trillion, one hundred one billion, two hundred one million, eleven thousand, one hundred twenty-one".