100201021001011 has 12 divisors (see below), whose sum is σ = 116568269789040. Its totient is φ = 85880769540720.

The previous prime is 100201021001009. The next prime is 100201021001041. The reversal of 100201021001011 is 110100120102001.

It is not a de Polignac number, because 100201021001011 - 2¹ = 100201021001009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201021001041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68553820 + ... + 70000201.

It is an arithmetic number, because the mean of its divisors is an integer number (9714022482420).

Almost surely, 2^{100201021001011} is an apocalyptic number.

100201021001011 is a deficient number, since it is larger than the sum of its proper divisors (16367248788029).

100201021001011 is a wasteful number, since it uses less digits than its factorization.

100201021001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138568794 (or 138568787 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100201021001011 its reverse (110100120102001), we get a palindrome (210301141103012).

The spelling of 100201021001011 in words is "one hundred trillion, two hundred one billion, twenty-one million, one thousand, eleven".