100020010222011 has 128 divisors (see below), whose sum is σ = 149902428487680. Its totient is φ = 58815336384000.

The previous prime is 100020010221959. The next prime is 100020010222019. The reversal of 100020010222011 is 110222010020001.

It is not a de Polignac number, because 100020010222011 - 2¹⁰ = 100020010220987 is a prime.

It is a super-2 number, since 2×100020010222011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100020010222019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28882473066 + ... + 28882476528.

It is an arithmetic number, because the mean of its divisors is an integer number (1171112722560).

Almost surely, 2^{100020010222011} is an apocalyptic number.

100020010222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100020010222011 is a deficient number, since it is larger than the sum of its proper divisors (49882418265669).

100020010222011 is a wasteful number, since it uses less digits than its factorization.

100020010222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100020010222011 its reverse (110222010020001), we get a palindrome (210242020242012).

It can be divided in two parts, 1000200 and 10222011, that added together give a palindrome (11222211).

The spelling of 100020010222011 in words is "one hundred trillion, twenty billion, ten million, two hundred twenty-two thousand, eleven".