102100210001123 has 8 divisors (see below), whose sum is σ = 107482579057920. Its totient is φ = 96718708323720.

The previous prime is 102100210001117. The next prime is 102100210001129. The reversal of 102100210001123 is 321100012001201.

It is an interprime number because it is at equal distance from previous prime (102100210001117) and next prime (102100210001129).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100210001123 - 2¹⁶ = 102100209935587 is a prime.

It is a super-2 number, since 2×102100210001123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100210001098 and 102100210001107.

It is not an unprimeable number, because it can be changed into a prime (102100210001129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216603215 + ... + 217074072.

It is an arithmetic number, because the mean of its divisors is an integer number (13435322382240).

Almost surely, 2^{102100210001123} is an apocalyptic number.

102100210001123 is a deficient number, since it is larger than the sum of its proper divisors (5382369056797).

102100210001123 is a wasteful number, since it uses less digits than its factorization.

102100210001123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433689697.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102100210001123 its reverse (321100012001201), we get a palindrome (423200222002324).

The spelling of 102100210001123 in words is "one hundred two trillion, one hundred billion, two hundred ten million, one thousand, one hundred twenty-three".