100121011120 has 80 divisors (see below), whose sum is σ = 261587132352. Its totient is φ = 35360455680.

The previous prime is 100121011117. The next prime is 100121011129. The reversal of 100121011120 is 21110121001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100121011097 and 100121011106.

It is not an unprimeable number, because it can be changed into a prime (100121011129) 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, 2068911 + ... + 2116750.

Almost surely, 2^100121011120 is an apocalyptic number.

100121011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121011120 is an abundant number, since it is smaller than the sum of its proper divisors (161466121232).

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

100121011120 is a wasteful number, since it uses less digits than its factorization.

100121011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185710 (or 4185704 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100121011120 its reverse (21110121001), we get a palindrome (121231132121).

The spelling of 100121011120 in words is "one hundred billion, one hundred twenty-one million, eleven thousand, one hundred twenty".