102213404123001 has 32 divisors (see below), whose sum is σ = 145790314598400. Its totient is φ = 63511842925440.

The previous prime is 102213404122997. The next prime is 102213404123059. The reversal of 102213404123001 is 100321404312201.

It is not a de Polignac number, because 102213404123001 - 2² = 102213404122997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102213404123071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39124261 + ... + 41654946.

It is an arithmetic number, because the mean of its divisors is an integer number (4555947331200).

Almost surely, 2^{102213404123001} is an apocalyptic number.

It is an amenable number.

102213404123001 is a deficient number, since it is larger than the sum of its proper divisors (43576910475399).

102213404123001 is a wasteful number, since it uses less digits than its factorization.

102213404123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80779589.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102213404123001 its reverse (100321404312201), we get a palindrome (202534808435202).

It can be divided in two parts, 10221340 and 4123001, that added together give a palindrome (14344341).

The spelling of 102213404123001 in words is "one hundred two trillion, two hundred thirteen billion, four hundred four million, one hundred twenty-three thousand, one".