100100211002121 has 32 divisors (see below), whose sum is σ = 145787067688320. Its totient is φ = 60588988761600.

The previous prime is 100100211002093. The next prime is 100100211002137. The reversal of 100100211002121 is 121200112001001.

It is not a de Polignac number, because 100100211002121 - 2³⁸ = 99825333095177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100211002097 and 100100211002106.

It is not an unprimeable number, because it can be changed into a prime (100100211002821) 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, 376874061 + ... + 377139573.

It is an arithmetic number, because the mean of its divisors is an integer number (4555845865260).

Almost surely, 2^{100100211002121} is an apocalyptic number.

100100211002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100211002121 is a deficient number, since it is larger than the sum of its proper divisors (45686856686199).

100100211002121 is a wasteful number, since it uses less digits than its factorization.

100100211002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280137.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100211002121 its reverse (121200112001001), we get a palindrome (221300323003122).

The spelling of 100100211002121 in words is "one hundred trillion, one hundred billion, two hundred eleven million, two thousand, one hundred twenty-one".