100010102021011 has 32 divisors (see below), whose sum is σ = 124385919573888. Its totient is φ = 78296348390400.

The previous prime is 100010102020991. The next prime is 100010102021033. The reversal of 100010102021011 is 110120201010001.

It is not a de Polignac number, because 100010102021011 - 2¹⁷ = 100010101889939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010102021411) 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, 11271231 + ... + 18084823.

It is an arithmetic number, because the mean of its divisors is an integer number (3887059986684).

Almost surely, 2^{100010102021011} is an apocalyptic number.

100010102021011 is a deficient number, since it is larger than the sum of its proper divisors (24375817552877).

100010102021011 is a wasteful number, since it uses less digits than its factorization.

100010102021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815311.

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

Adding to 100010102021011 its reverse (110120201010001), we get a palindrome (210130303031012).

It can be divided in two parts, 10001010 and 2021011, that added together give a palindrome (12022021).

The spelling of 100010102021011 in words is "one hundred trillion, ten billion, one hundred two million, twenty-one thousand, eleven".