120100102011 has 48 divisors (see below), whose sum is σ = 188738035200. Its totient is φ = 73284839424.

The previous prime is 120100102007. The next prime is 120100102037. The reversal of 120100102011 is 110201001021.

It is a happy number.

It is not a de Polignac number, because 120100102011 - 2² = 120100102007 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 120100101984 and 120100102002.

It is not an unprimeable number, because it can be changed into a prime (120100102051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16294335 + ... + 16301703.

It is an arithmetic number, because the mean of its divisors is an integer number (3932042400).

Almost surely, 2^120100102011 is an apocalyptic number.

120100102011 is a deficient number, since it is larger than the sum of its proper divisors (68637933189).

120100102011 is a wasteful number, since it uses less digits than its factorization.

120100102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10308 (or 10305 counting only the distinct ones).

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

Adding to 120100102011 its reverse (110201001021), we get a palindrome (230301103032).

It can be divided in two parts, 120100 and 102011, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 120100102011 in words is "one hundred twenty billion, one hundred million, one hundred two thousand, eleven".