20101020101011 has 4 divisors (see below), whose sum is σ = 21158968527400. Its totient is φ = 19043071674624.

The previous prime is 20101020100969. The next prime is 20101020101027. The reversal of 20101020101011 is 11010102010102.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 20101020101011 - 2²⁷ = 20100885883283 is a prime.

It is a super-3 number, since 3×20101020101011³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101020101111) 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 3 ways as a sum of consecutive naturals, for example, 528974213166 + ... + 528974213203.

It is an arithmetic number, because the mean of its divisors is an integer number (5289742131850).

Almost surely, 2^{20101020101011} is an apocalyptic number.

20101020101011 is a deficient number, since it is larger than the sum of its proper divisors (1057948426389).

20101020101011 is a wasteful number, since it uses less digits than its factorization.

20101020101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057948426388.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20101020101011 its reverse (11010102010102), we get a palindrome (31111122111113).

It can be divided in two parts, 2010102010101 and 1, that added together give a palindrome (2010102010102).

The spelling of 20101020101011 in words is "twenty trillion, one hundred one billion, twenty million, one hundred one thousand, eleven".