100200102100011 has 24 divisors (see below), whose sum is σ = 150178445564784. Its totient is φ = 66762476294400.

The previous prime is 100200102099859. The next prime is 100200102100057. The reversal of 100200102100011 is 110001201002001.

It is a happy number.

It is not a de Polignac number, because 100200102100011 - 2¹⁵ = 100200102067243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100200102099966 and 100200102100002.

It is not an unprimeable number, because it can be changed into a prime (100200102100081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115591290 + ... + 116454911.

It is an arithmetic number, because the mean of its divisors is an integer number (6257435231866).

Almost surely, 2^{100200102100011} is an apocalyptic number.

100200102100011 is a deficient number, since it is larger than the sum of its proper divisors (49978343464773).

100200102100011 is an equidigital number, since it uses as much as digits as its factorization.

100200102100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232047993 (or 232047981 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100200102100011 its reverse (110001201002001), we get a palindrome (210201303102012).

The spelling of 100200102100011 in words is "one hundred trillion, two hundred billion, one hundred two million, one hundred thousand, eleven".