100222102101 has 16 divisors (see below), whose sum is σ = 153450109440. Its totient is φ = 57543790320.

The previous prime is 100222102081. The next prime is 100222102109. The reversal of 100222102101 is 101201222001.

It is not a de Polignac number, because 100222102101 - 2⁵ = 100222102069 is a prime.

It is a super-2 number, since 2×100222102101² (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 (100222102109) 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, 79921305 + ... + 79922558.

It is an arithmetic number, because the mean of its divisors is an integer number (9590631840).

Almost surely, 2^100222102101 is an apocalyptic number.

100222102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222102101 is a deficient number, since it is larger than the sum of its proper divisors (53228007339).

100222102101 is a wasteful number, since it uses less digits than its factorization.

100222102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159843896.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100222102101 its reverse (101201222001), we get a palindrome (201423324102).

The spelling of 100222102101 in words is "one hundred billion, two hundred twenty-two million, one hundred two thousand, one hundred one".