100120100102121 has 32 divisors (see below), whose sum is σ = 154042599278592. Its totient is φ = 57245560479360.

The previous prime is 100120100102119. The next prime is 100120100102137. The reversal of 100120100102121 is 121201001021001.

It is not a de Polignac number, because 100120100102121 - 2¹ = 100120100102119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120100102097 and 100120100102106.

It is not an unprimeable number, because it can be changed into a prime (100120100102521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903441445 + ... + 903552258.

It is an arithmetic number, because the mean of its divisors is an integer number (4813831227456).

Almost surely, 2^{100120100102121} is an apocalyptic number.

100120100102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120100102121 is a deficient number, since it is larger than the sum of its proper divisors (53922499176471).

100120100102121 is a wasteful number, since it uses less digits than its factorization.

100120100102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806993813.

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

Adding to 100120100102121 its reverse (121201001021001), we get a palindrome (221321101123122).

The spelling of 100120100102121 in words is "one hundred trillion, one hundred twenty billion, one hundred million, one hundred two thousand, one hundred twenty-one".