102123024334001 has 32 divisors (see below), whose sum is σ = 121193818462080. Its totient is φ = 85048292044800.

The previous prime is 102123024333991. The next prime is 102123024334073. The reversal of 102123024334001 is 100433420321201.

It is a cyclic number.

It is not a de Polignac number, because 102123024334001 - 2⁶ = 102123024333937 is a prime.

It is a super-2 number, since 2×102123024334001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102123024337001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51765020 + ... + 53701613.

It is an arithmetic number, because the mean of its divisors is an integer number (3787306826940).

Almost surely, 2^{102123024334001} is an apocalyptic number.

102123024334001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102123024334001 is a deficient number, since it is larger than the sum of its proper divisors (19070794128079).

102123024334001 is a wasteful number, since it uses less digits than its factorization.

102123024334001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105466817.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 102123024334001 its reverse (100433420321201), we get a palindrome (202556444655202).

The spelling of 102123024334001 in words is "one hundred two trillion, one hundred twenty-three billion, twenty-four million, three hundred thirty-four thousand, one".