100000020211101 has 64 divisors (see below), whose sum is σ = 157977789696000. Its totient is φ = 62337331520640.

The previous prime is 100000020211081. The next prime is 100000020211109. The reversal of 100000020211101 is 101112020000001.

It is a happy number.

It is not a de Polignac number, because 100000020211101 - 2²⁷ = 99999885993373 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000020211109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23759736 + ... + 27650046.

It is an arithmetic number, because the mean of its divisors is an integer number (2468402964000).

Almost surely, 2^{100000020211101} is an apocalyptic number.

It is an amenable number.

100000020211101 is a deficient number, since it is larger than the sum of its proper divisors (57977769484899).

100000020211101 is a wasteful number, since it uses less digits than its factorization.

100000020211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890991 (or 3890985 counting only the distinct ones).

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

Adding to 100000020211101 its reverse (101112020000001), we get a palindrome (201112040211102).

The spelling of 100000020211101 in words is "one hundred trillion, twenty million, two hundred eleven thousand, one hundred one".