102001001121 has 24 divisors (see below), whose sum is σ = 148060954080. Its totient is φ = 67665882816.

The previous prime is 102001001111. The next prime is 102001001131. The reversal of 102001001121 is 121100100201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102001001111) and next prime (102001001131).

It is not a de Polignac number, because 102001001121 - 2⁶ = 102001001057 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102001001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481110 + ... + 3510288.

It is an arithmetic number, because the mean of its divisors is an integer number (6169206420).

Almost surely, 2^102001001121 is an apocalyptic number.

It is an amenable number.

102001001121 is a deficient number, since it is larger than the sum of its proper divisors (46059952959).

102001001121 is a wasteful number, since it uses less digits than its factorization.

102001001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31085 (or 31082 counting only the distinct ones).

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

Adding to 102001001121 its reverse (121100100201), we get a palindrome (223101101322).

The spelling of 102001001121 in words is "one hundred two billion, one million, one thousand, one hundred twenty-one".