1011000220011 has 32 divisors (see below), whose sum is σ = 1509266304000. Its totient is φ = 668843959680.

The previous prime is 1011000220003. The next prime is 1011000220019. The reversal of 1011000220011 is 1100220001101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011000220003) and next prime (1011000220019).

It is not a de Polignac number, because 1011000220011 - 2³ = 1011000220003 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 = 1011000219975 and 1011000220002.

It is not an unprimeable number, because it can be changed into a prime (1011000220019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513731 + ... + 2888051.

It is an arithmetic number, because the mean of its divisors is an integer number (47164572000).

Almost surely, 2^{1011000220011} is an apocalyptic number.

1011000220011 is a deficient number, since it is larger than the sum of its proper divisors (498266083989).

1011000220011 is a wasteful number, since it uses less digits than its factorization.

1011000220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375096 (or 375090 counting only the distinct ones).

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

Adding to 1011000220011 its reverse (1100220001101), we get a palindrome (2111220221112).

The spelling of 1011000220011 in words is "one trillion, eleven billion, two hundred twenty thousand, eleven".