102112121001 has 32 divisors (see below), whose sum is σ = 157433673600. Its totient is φ = 58182778880.

The previous prime is 102112120963. The next prime is 102112121003. The reversal of 102112121001 is 100121211201.

It is a cyclic number.

It is not a de Polignac number, because 102112121001 - 2²¹ = 102110023849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423205 + ... + 619133.

It is an arithmetic number, because the mean of its divisors is an integer number (4919802300).

Almost surely, 2^102112121001 is an apocalyptic number.

102112121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112121001 is a deficient number, since it is larger than the sum of its proper divisors (55321552599).

102112121001 is a wasteful number, since it uses less digits than its factorization.

102112121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196889.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112121001 its reverse (100121211201), we get a palindrome (202233332202).

The spelling of 102112121001 in words is "one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one".