1000102200010 has 16 divisors (see below), whose sum is σ = 1805862779496. Its totient is φ = 398778920128.

The previous prime is 1000102200007. The next prime is 1000102200017. The reversal of 1000102200010 is 100022010001.

1000102200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 795444583129 + 204657616881 = 891877^2 + 452391^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000102199966 and 1000102200002.

It is not an unprimeable number, because it can be changed into a prime (1000102200017) 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, 157741657 + ... + 157747996.

Almost surely, 2^{1000102200010} is an apocalyptic number.

1000102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000102200010 is a deficient number, since it is larger than the sum of its proper divisors (805760579486).

1000102200010 is a wasteful number, since it uses less digits than its factorization.

1000102200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315489977.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000102200010 its reverse (100022010001), we get a palindrome (1100124210011).

The spelling of 1000102200010 in words is "one trillion, one hundred two million, two hundred thousand, ten".