1011120020001 has 36 divisors (see below), whose sum is σ = 1829645760852. Its totient is φ = 533338029504.

The previous prime is 1011120019981. The next prime is 1011120020003. The reversal of 1011120020001 is 1000200211101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 351696441600 + 659423578401 = 593040^2 + 812049^2 .

It is not a de Polignac number, because 1011120020001 - 2¹⁰ = 1011120018977 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1011120020003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88178466 + ... + 88189931.

It is an arithmetic number, because the mean of its divisors is an integer number (50823493357).

Almost surely, 2^{1011120020001} is an apocalyptic number.

It is an amenable number.

1011120020001 is a deficient number, since it is larger than the sum of its proper divisors (818525740851).

1011120020001 is a wasteful number, since it uses less digits than its factorization.

1011120020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176368430 (or 176368420 counting only the distinct ones).

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

Adding to 1011120020001 its reverse (1000200211101), we get a palindrome (2011320231102).

The spelling of 1011120020001 in words is "one trillion, eleven billion, one hundred twenty million, twenty thousand, one".