100122120221193 has 128 divisors (see below), whose sum is σ = 179801262489600. Its totient is φ = 53828339913216.

The previous prime is 100122120221129. The next prime is 100122120221213. The reversal of 100122120221193 is 391122021221001.

100122120221193 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 20 + 221 + 193 = 666.

It is not a de Polignac number, because 100122120221193 - 2⁶ = 100122120221129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100122120221293) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116030623 + ... + 116890331.

It is an arithmetic number, because the mean of its divisors is an integer number (1404697363200).

Almost surely, 2^{100122120221193} is an apocalyptic number.

It is an amenable number.

100122120221193 is a deficient number, since it is larger than the sum of its proper divisors (79679142268407).

100122120221193 is a wasteful number, since it uses less digits than its factorization.

100122120221193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860188 (or 860182 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 100122120221193 its reverse (391122021221001), we get a palindrome (491244141442194).

The spelling of 100122120221193 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred ninety-three".