100102112201101 has 4 divisors (see below), whose sum is σ = 100102403157372. Its totient is φ = 100101821244832.

The previous prime is 100102112201089. The next prime is 100102112201173. The reversal of 100102112201101 is 101102211201001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9075915415876 + 91026196785225 = 3012626^2 + 9540765^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102112201101 - 2⁷ = 100102112200973 is a prime.

It is a super-2 number, since 2×100102112201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102112207101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144961456 + ... + 145650361.

It is an arithmetic number, because the mean of its divisors is an integer number (25025600789343).

Almost surely, 2^{100102112201101} is an apocalyptic number.

It is an amenable number.

100102112201101 is a deficient number, since it is larger than the sum of its proper divisors (290956271).

100102112201101 is an equidigital number, since it uses as much as digits as its factorization.

100102112201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290956270.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100102112201101 its reverse (101102211201001), we get a palindrome (201204323402102).

The spelling of 100102112201101 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, two hundred one thousand, one hundred one".