100102222211101 has 8 divisors (see below), whose sum is σ = 110283636352608. Its totient is φ = 90101010090000.

The previous prime is 100102222211093. The next prime is 100102222211111. The reversal of 100102222211101 is 101112222201001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100102222211101 - 2³ = 100102222211093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102222211111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45050503935 + ... + 45050506156.

It is an arithmetic number, because the mean of its divisors is an integer number (13785454544076).

Almost surely, 2^{100102222211101} is an apocalyptic number.

100102222211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102222211101 is a deficient number, since it is larger than the sum of its proper divisors (10181414141507).

100102222211101 is a wasteful number, since it uses less digits than its factorization.

100102222211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90101010203.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100102222211101 its reverse (101112222201001), we get a palindrome (201214444412102).

The spelling of 100102222211101 in words is "one hundred trillion, one hundred two billion, two hundred twenty-two million, two hundred eleven thousand, one hundred one".