100120212101 has 16 divisors (see below), whose sum is σ = 123242249088. Its totient is φ = 79204824000.

The previous prime is 100120212079. The next prime is 100120212149. The reversal of 100120212101 is 101212021001.

It is a cyclic number.

It is not a de Polignac number, because 100120212101 - 2¹⁴ = 100120195717 is a prime.

It is a super-2 number, since 2×100120212101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120212151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604211 + ... + 751871.

It is an arithmetic number, because the mean of its divisors is an integer number (7702640568).

Almost surely, 2^100120212101 is an apocalyptic number.

It is an amenable number.

100120212101 is a deficient number, since it is larger than the sum of its proper divisors (23122036987).

100120212101 is a wasteful number, since it uses less digits than its factorization.

100120212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155132.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100120212101 its reverse (101212021001), we get a palindrome (201332233102).

The spelling of 100120212101 in words is "one hundred billion, one hundred twenty million, two hundred twelve thousand, one hundred one".