1020100011 has 64 divisors (see below), whose sum is σ = 1689891840. Its totient is φ = 534159360.

The previous prime is 1020100007. The next prime is 1020100021. The reversal of 1020100011 is 1100010201.

It is not a de Polignac number, because 1020100011 - 2² = 1020100007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020100001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3026835 + ... + 3027171.

It is an arithmetic number, because the mean of its divisors is an integer number (26404560).

Almost surely, 2^1020100011 is an apocalyptic number.

1020100011 is a deficient number, since it is larger than the sum of its proper divisors (669791829).

1020100011 is a wasteful number, since it uses less digits than its factorization.

1020100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1020100011 is about 31939.0045399039. The cubic root of 1020100011 is about 1006.6556082705.

Adding to 1020100011 its reverse (1100010201), we get a palindrome (2120110212).

The spelling of 1020100011 in words is "one billion, twenty million, one hundred thousand, eleven".