101201001011 has 12 divisors (see below), whose sum is σ = 111655587624. Its totient is φ = 90967113600.

The previous prime is 101201001007. The next prime is 101201001017. The reversal of 101201001011 is 110100102101.

It is a happy number.

It is not a de Polignac number, because 101201001011 - 2² = 101201001007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101201001011.

It is not an unprimeable number, because it can be changed into a prime (101201001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493610 + ... + 667871.

It is an arithmetic number, because the mean of its divisors is an integer number (9304632302).

Almost surely, 2^101201001011 is an apocalyptic number.

101201001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101201001011 is a deficient number, since it is larger than the sum of its proper divisors (10454586613).

101201001011 is an equidigital number, since it uses as much as digits as its factorization.

101201001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161670 (or 1161581 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101201001011 its reverse (110100102101), we get a palindrome (211301103112).

It can be divided in two parts, 10 and 1201001011, that added together give a palindrome (1201001021).

The spelling of 101201001011 in words is "one hundred one billion, two hundred one million, one thousand, eleven".