1012120101 has 24 divisors (see below), whose sum is σ = 1545092640. Its totient is φ = 636660000.

The previous prime is 1012120061. The next prime is 1012120103. The reversal of 1012120101 is 1010212101.

It is a happy number.

It is not a de Polignac number, because 1012120101 - 2¹⁰ = 1012119077 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31131 + ... + 54711.

It is an arithmetic number, because the mean of its divisors is an integer number (64378860).

Almost surely, 2^1012120101 is an apocalyptic number.

It is an amenable number.

1012120101 is a deficient number, since it is larger than the sum of its proper divisors (532972539).

1012120101 is a wasteful number, since it uses less digits than its factorization.

1012120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23857 (or 23854 counting only the distinct ones).

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

The square root of 1012120101 is about 31813.8350564656. The cubic root of 1012120101 is about 1004.0238208160.

Adding to 1012120101 its reverse (1010212101), we get a palindrome (2022332202).

The spelling of 1012120101 in words is "one billion, twelve million, one hundred twenty thousand, one hundred one".