120011021000100 has 108 divisors (see below), whose sum is σ = 378342259334676. Its totient is φ = 31817950805760.

The previous prime is 120011021000089. The next prime is 120011021000149. The reversal of 120011021000100 is 1000120110021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17082366818724 + 102928654181376 = 4133082^2 + 10145376^2 .

It is a super-3 number, since 3×120011021000100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 385236147 + ... + 385547546.

Almost surely, 2^{120011021000100} is an apocalyptic number.

120011021000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011021000100 is an abundant number, since it is smaller than the sum of its proper divisors (258331238334576).

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

120011021000100 is a wasteful number, since it uses less digits than its factorization.

120011021000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770783886 (or 770783876 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120011021000100 its reverse (1000120110021), we get a palindrome (121011141110121).

The spelling of 120011021000100 in words is "one hundred twenty trillion, eleven billion, twenty-one million, one hundred", and thus it is an aban number.