100102213101 has 8 divisors (see below), whose sum is σ = 145603219104. Its totient is φ = 60668007920.

The previous prime is 100102213091. The next prime is 100102213111. The reversal of 100102213101 is 101312201001.

It is an interprime number because it is at equal distance from previous prime (100102213091) and next prime (100102213111).

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 100102213101 - 2⁵ = 100102213069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102213111) 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, 1516700166 + ... + 1516700231.

It is an arithmetic number, because the mean of its divisors is an integer number (18200402388).

Almost surely, 2^100102213101 is an apocalyptic number.

100102213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102213101 is a deficient number, since it is larger than the sum of its proper divisors (45501006003).

100102213101 is a wasteful number, since it uses less digits than its factorization.

100102213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033400411.

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

Adding to 100102213101 its reverse (101312201001), we get a palindrome (201414414102).

The spelling of 100102213101 in words is "one hundred billion, one hundred two million, two hundred thirteen thousand, one hundred one".