100112212120101 has 32 divisors (see below), whose sum is σ = 140808509736960. Its totient is φ = 63143604748224.

The previous prime is 100112212120093. The next prime is 100112212120103. The reversal of 100112212120101 is 101021212211001.

It is a happy number.

It is not a de Polignac number, because 100112212120101 - 2³ = 100112212120093 is a prime.

It is a super-2 number, since 2×100112212120101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112212120103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604331 + ... + 14387736.

It is an arithmetic number, because the mean of its divisors is an integer number (4400265929280).

Almost surely, 2^{100112212120101} is an apocalyptic number.

It is an amenable number.

100112212120101 is a deficient number, since it is larger than the sum of its proper divisors (40696297616859).

100112212120101 is a wasteful number, since it uses less digits than its factorization.

100112212120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16993025.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112212120101 its reverse (101021212211001), we get a palindrome (201133424331102).

The spelling of 100112212120101 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty thousand, one hundred one".