1000102202011 has 16 divisors (see below), whose sum is σ = 1093541089248. Its totient is φ = 907085088000.

The previous prime is 1000102201993. The next prime is 1000102202017. The reversal of 1000102202011 is 1102022010001.

It is a cyclic number.

It is not a de Polignac number, because 1000102202011 - 2¹⁷ = 1000102070939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000102202017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12170161 + ... + 12252061.

It is an arithmetic number, because the mean of its divisors is an integer number (68346318078).

Almost surely, 2^{1000102202011} is an apocalyptic number.

1000102202011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000102202011 is a deficient number, since it is larger than the sum of its proper divisors (93438887237).

1000102202011 is a wasteful number, since it uses less digits than its factorization.

1000102202011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84462.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000102202011 its reverse (1102022010001), we get a palindrome (2102124212012).

The spelling of 1000102202011 in words is "one trillion, one hundred two million, two hundred two thousand, eleven".