1000102100110 has 32 divisors (see below), whose sum is σ = 1811191741632. Its totient is φ = 397595232000.

The previous prime is 1000102100071. The next prime is 1000102100149. The reversal of 1000102100110 is 110012010001.

It is an interprime number because it is at equal distance from previous prime (1000102100071) and next prime (1000102100149).

It is a junction number, because it is equal to n+sod(n) for n = 1000102100093 and 1000102100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14998404 + ... + 15064936.

It is an arithmetic number, because the mean of its divisors is an integer number (56599741926).

Almost surely, 2^{1000102100110} is an apocalyptic number.

1000102100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000102100110 is a deficient number, since it is larger than the sum of its proper divisors (811089641522).

1000102100110 is a wasteful number, since it uses less digits than its factorization.

1000102100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75708.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000102100110 its reverse (110012010001), we get a palindrome (1110114110111).

The spelling of 1000102100110 in words is "one trillion, one hundred two million, one hundred thousand, one hundred ten".