100010200201011 has 48 divisors (see below), whose sum is σ = 152327302231104. Its totient is φ = 63103361789952.

The previous prime is 100010200200997. The next prime is 100010200201039. The reversal of 100010200201011 is 110102002010001.

It is a happy number.

It is not a de Polignac number, because 100010200201011 - 2¹⁴ = 100010200184627 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 = 100010200200984 and 100010200201002.

It is not an unprimeable number, because it can be changed into a prime (100010200201111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91761415 + ... + 92844911.

It is an arithmetic number, because the mean of its divisors is an integer number (3173485463148).

Almost surely, 2^{100010200201011} is an apocalyptic number.

100010200201011 is a deficient number, since it is larger than the sum of its proper divisors (52317102030093).

100010200201011 is a wasteful number, since it uses less digits than its factorization.

100010200201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088220 (or 1088217 counting only the distinct ones).

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

Adding to 100010200201011 its reverse (110102002010001), we get a palindrome (210112202211012).

The spelling of 100010200201011 in words is "one hundred trillion, ten billion, two hundred million, two hundred one thousand, eleven".