1000102122123 has 32 divisors (see below), whose sum is σ = 1450568211456. Its totient is φ = 609227630208.

The previous prime is 1000102122121. The next prime is 1000102122163. The reversal of 1000102122123 is 3212212010001.

It is not a de Polignac number, because 1000102122123 - 2¹ = 1000102122121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000102122121) 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, 10222786 + ... + 10320152.

It is an arithmetic number, because the mean of its divisors is an integer number (45330256608).

Almost surely, 2^{1000102122123} is an apocalyptic number.

1000102122123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000102122123 is a deficient number, since it is larger than the sum of its proper divisors (450466089333).

1000102122123 is a wasteful number, since it uses less digits than its factorization.

1000102122123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100043.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1000102122123 its reverse (3212212010001), we get a palindrome (4212314132124).

The spelling of 1000102122123 in words is "one trillion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-three".