100102203121121 has 16 divisors (see below), whose sum is σ = 100901662181376. Its totient is φ = 99304831244736.

The previous prime is 100102203121027. The next prime is 100102203121133. The reversal of 100102203121121 is 121121302201001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100102203121121 - 2¹⁴ = 100102203104737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100102203121121.

It is not an unprimeable number, because it can be changed into a prime (100102203123121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880760120 + ... + 880873766.

It is an arithmetic number, because the mean of its divisors is an integer number (6306353886336).

Almost surely, 2^{100102203121121} is an apocalyptic number.

It is an amenable number.

100102203121121 is a deficient number, since it is larger than the sum of its proper divisors (799459060255).

100102203121121 is a wasteful number, since it uses less digits than its factorization.

100102203121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122768.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100102203121121 its reverse (121121302201001), we get a palindrome (221223505322122).

The spelling of 100102203121121 in words is "one hundred trillion, one hundred two billion, two hundred three million, one hundred twenty-one thousand, one hundred twenty-one".