120011121010100 has 36 divisors (see below), whose sum is σ = 260615480523468. Its totient is φ = 47969176896000.

The previous prime is 120011121010061. The next prime is 120011121010129. The reversal of 120011121010100 is 1010121110021.

It can be written as a sum of positive squares in 6 ways, for example, as 32841747715984 + 87169373294116 = 5730772^2 + 9336454^2 .

It is a super-2 number, since 2×120011121010100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440757071 + ... + 441029270.

Almost surely, 2^{120011121010100} is an apocalyptic number.

120011121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011121010100 is an abundant number, since it is smaller than the sum of its proper divisors (140604359513368).

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

120011121010100 is a wasteful number, since it uses less digits than its factorization.

120011121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881787716 (or 881787709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 120011121010100 its reverse (1010121110021), we get a palindrome (121021242120121).

The spelling of 120011121010100 in words is "one hundred twenty trillion, eleven billion, one hundred twenty-one million, ten thousand, one hundred".