100010110100120 has 64 divisors (see below), whose sum is σ = 245545692999840. Its totient is φ = 36357485824000.

The previous prime is 100010110100113. The next prime is 100010110100137. The reversal of 100010110100120 is 21001011010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100010110100098 and 100010110100107.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29078897 + ... + 32335776.

Almost surely, 2^{100010110100120} is an apocalyptic number.

100010110100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010110100120 is an abundant number, since it is smaller than the sum of its proper divisors (145535582899720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010110100120 is a wasteful number, since it uses less digits than its factorization.

100010110100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61418396 (or 61418392 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010110100120 its reverse (21001011010001), we get a palindrome (121011121110121).

The spelling of 100010110100120 in words is "one hundred trillion, ten billion, one hundred ten million, one hundred thousand, one hundred twenty".