102142241201 has 16 divisors (see below), whose sum is σ = 137142031488. Its totient is φ = 73468944000.

The previous prime is 102142241197. The next prime is 102142241203.

102142241201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102142241201 - 2² = 102142241197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102142241203) 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 15 ways as a sum of consecutive naturals, for example, 51019100 + ... + 51021101.

It is an arithmetic number, because the mean of its divisors is an integer number (8571376968).

Almost surely, 2^102142241201 is an apocalyptic number.

102142241201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102142241201 is a deficient number, since it is larger than the sum of its proper divisors (34999790287).

102142241201 is a wasteful number, since it uses less digits than its factorization.

102142241201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102040232.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 102142 and 241201, that added together give a palindrome (343343).

The spelling of 102142241201 in words is "one hundred two billion, one hundred forty-two million, two hundred forty-one thousand, two hundred one".