101121210201121 has 12 divisors (see below), whose sum is σ = 111186797946532. Its totient is φ = 91897740000000.

The previous prime is 101121210201071. The next prime is 101121210201169. The reversal of 101121210201121 is 121102012121101.

It can be written as a sum of positive squares in 2 ways, for example, as 37067823072225 + 64053387128896 = 6088335^2 + 8003336^2 .

It is not a de Polignac number, because 101121210201121 - 2⁹ = 101121210200609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121210201095 and 101121210201104.

It is not an unprimeable number, because it can be changed into a prime (101121210201521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138875880 + ... + 139602121.

Almost surely, 2^{101121210201121} is an apocalyptic number.

101121210201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121210201121 is a deficient number, since it is larger than the sum of its proper divisors (10065587745411).

101121210201121 is a wasteful number, since it uses less digits than its factorization.

101121210201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278481024 (or 278481013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101121210201121 its reverse (121102012121101), we get a palindrome (222223222322222).

The spelling of 101121210201121 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred ten million, two hundred one thousand, one hundred twenty-one".