1000102122110 has 192 divisors, whose sum is σ = 2291809064832. Its totient is φ = 311396327424.

The previous prime is 1000102122091. The next prime is 1000102122121. The reversal of 1000102122110 is 112212010001.

It is a junction number, because it is equal to n+sod(n) for n = 1000102122091 and 1000102122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201346847 + ... + 201351813.

It is an arithmetic number, because the mean of its divisors is an integer number (11936505546).

Almost surely, 2^{1000102122110} is an apocalyptic number.

1000102122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000102122110 is an abundant number, since it is smaller than the sum of its proper divisors (1291706942722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000102122110 is a wasteful number, since it uses less digits than its factorization.

1000102122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000102122110 its reverse (112212010001), we get a palindrome (1112314132111).

The spelling of 1000102122110 in words is "one trillion, one hundred two million, one hundred twenty-two thousand, one hundred ten".