100120210212121 has 32 divisors (see below), whose sum is σ = 113866955559936. Its totient is φ = 87206115360000.

The previous prime is 100120210212103. The next prime is 100120210212163. The reversal of 100120210212121 is 121212012021001.

It is a cyclic number.

It is not a de Polignac number, because 100120210212121 - 2¹³ = 100120210203929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120210212095 and 100120210212104.

It is not an unprimeable number, because it can be changed into a prime (100120210212221) 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, 915145995 + ... + 915255391.

It is an arithmetic number, because the mean of its divisors is an integer number (3558342361248).

Almost surely, 2^{100120210212121} is an apocalyptic number.

100120210212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120210212121 is a deficient number, since it is larger than the sum of its proper divisors (13746745347815).

100120210212121 is a wasteful number, since it uses less digits than its factorization.

100120210212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136113.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100120210212121 its reverse (121212012021001), we get a palindrome (221332222233122).

The spelling of 100120210212121 in words is "one hundred trillion, one hundred twenty billion, two hundred ten million, two hundred twelve thousand, one hundred twenty-one".