100201101010011 has 6 divisors (see below), whose sum is σ = 144734923681140. Its totient is φ = 66800734006668.

The previous prime is 100201101009973. The next prime is 100201101010093. The reversal of 100201101010011 is 110010101102001.

It is not a de Polignac number, because 100201101010011 - 2¹⁷ = 100201100878939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11133455667779 = 100201101010011 / (1 + 0 + 0 + 2 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100201101009975 and 100201101010002.

It is not an unprimeable number, because it can be changed into a prime (100201101090011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5566727833881 + ... + 5566727833898.

It is an arithmetic number, because the mean of its divisors is an integer number (24122487280190).

Almost surely, 2^{100201101010011} is an apocalyptic number.

100201101010011 is a deficient number, since it is larger than the sum of its proper divisors (44533822671129).

100201101010011 is a wasteful number, since it uses less digits than its factorization.

100201101010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133455667785 (or 11133455667782 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100201101010011 its reverse (110010101102001), we get a palindrome (210211202112012).

The spelling of 100201101010011 in words is "one hundred trillion, two hundred one billion, one hundred one million, ten thousand, eleven".