101020111001 has 16 divisors (see below), whose sum is σ = 105550741824. Its totient is φ = 96608381184.

The previous prime is 101020110991. The next prime is 101020111013. The reversal of 101020111001 is 100111020101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101020111001 - 2¹⁰ = 101020109977 is a prime.

It is a super-2 number, since 2×101020111001² (a number of 23 digits) contains 22 as substring.

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 101020111001.

It is not an unprimeable number, because it can be changed into a prime (101020111021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312590 + ... + 547496.

It is an arithmetic number, because the mean of its divisors is an integer number (6596921364).

Almost surely, 2^101020111001 is an apocalyptic number.

It is an amenable number.

101020111001 is a deficient number, since it is larger than the sum of its proper divisors (4530630823).

101020111001 is a wasteful number, since it uses less digits than its factorization.

101020111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235160.

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

Adding to 101020111001 its reverse (100111020101), we get a palindrome (201131131102).

The spelling of 101020111001 in words is "one hundred one billion, twenty million, one hundred eleven thousand, one".