100102211202123 has 48 divisors (see below), whose sum is σ = 155890718736480. Its totient is φ = 61531686374400.

The previous prime is 100102211202089. The next prime is 100102211202131. The reversal of 100102211202123 is 321202112201001.

100102211202123 is a `hidden beast` number, since 100 + 10 + 221 + 120 + 212 + 3 = 666.

It is not a de Polignac number, because 100102211202123 - 2³⁷ = 99964772248651 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102211202096 and 100102211202105.

It is not an unprimeable number, because it can be changed into a prime (100102211202173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 832674643 + ... + 832794851.

It is an arithmetic number, because the mean of its divisors is an integer number (3247723307010).

Almost surely, 2^{100102211202123} is an apocalyptic number.

100102211202123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100102211202123 is a deficient number, since it is larger than the sum of its proper divisors (55788507534357).

100102211202123 is a wasteful number, since it uses less digits than its factorization.

100102211202123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128220 (or 128217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100102211202123 its reverse (321202112201001), we get a palindrome (421304323403124).

The spelling of 100102211202123 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, two hundred two thousand, one hundred twenty-three".