100202121209973 has 32 divisors (see below), whose sum is σ = 142819273965312. Its totient is φ = 62335336025600.

The previous prime is 100202121209941. The next prime is 100202121209987. The reversal of 100202121209973 is 379902121202001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100202121209973 - 2⁵ = 100202121209941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202121259973) 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, 54720211 + ... + 56521727.

It is an arithmetic number, because the mean of its divisors is an integer number (4463102311416).

Almost surely, 2^{100202121209973} is an apocalyptic number.

It is an amenable number.

100202121209973 is a deficient number, since it is larger than the sum of its proper divisors (42617152755339).

100202121209973 is a wasteful number, since it uses less digits than its factorization.

100202121209973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821245.

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 100202121209973 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, two hundred nine thousand, nine hundred seventy-three".