121020100101 has 12 divisors (see below), whose sum is σ = 174819810828. Its totient is φ = 80674066944.

The previous prime is 121020100057. The next prime is 121020100139. The reversal of 121020100101 is 101001020121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52349897601 + 68670202500 = 228801^2 + 262050^2 .

It is not a de Polignac number, because 121020100101 - 2⁷ = 121020099973 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370470 + ... + 615863.

It is an arithmetic number, because the mean of its divisors is an integer number (14568317569).

Almost surely, 2^121020100101 is an apocalyptic number.

It is an amenable number.

121020100101 is a deficient number, since it is larger than the sum of its proper divisors (53799710727).

121020100101 is a wasteful number, since it uses less digits than its factorization.

121020100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999972 (or 999969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121020100101 its reverse (101001020121), we get a palindrome (222021120222).

The spelling of 121020100101 in words is "one hundred twenty-one billion, twenty million, one hundred thousand, one hundred one".