121021100101 has 12 divisors (see below), whose sum is σ = 133088260396. Its totient is φ = 109965366720.

The previous prime is 121021100093. The next prime is 121021100117. The reversal of 121021100101 is 101001120121.

It can be written as a sum of positive squares in 2 ways, for example, as 84108700225 + 36912399876 = 290015^2 + 192126^2 .

It is not a de Polignac number, because 121021100101 - 2³ = 121021100093 is a prime.

It is a super-2 number, since 2×121021100101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021100171) 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, 4825 + ... + 492001.

Almost surely, 2^121021100101 is an apocalyptic number.

121021100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121021100101 is a deficient number, since it is larger than the sum of its proper divisors (12067160295).

121021100101 is a wasteful number, since it uses less digits than its factorization.

121021100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489252 (or 489241 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121021100101 its reverse (101001120121), we get a palindrome (222022220222).

It can be divided in two parts, 121021 and 100101, that added together give a palindrome (221122).

The spelling of 121021100101 in words is "one hundred twenty-one billion, twenty-one million, one hundred thousand, one hundred one".