20101010220100 has 36 divisors (see below), whose sum is σ = 43641300660804. Its totient is φ = 8036328791680.

The previous prime is 20101010220059. The next prime is 20101010220101. The reversal of 20101010220100 is 102201010102.

It can be written as a sum of positive squares in 6 ways, for example, as 2005242916356 + 18095767303744 = 1416066^2 + 4253912^2 .

It is a super-2 number, since 2×20101010220100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20101010220101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50742919 + ... + 51137518.

It is an arithmetic number, because the mean of its divisors is an integer number (1212258351689).

Almost surely, 2^{20101010220100} is an apocalyptic number.

20101010220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101010220100 is an abundant number, since it is smaller than the sum of its proper divisors (23540290440704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20101010220100 is a wasteful number, since it uses less digits than its factorization.

20101010220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101882424 (or 101882417 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101010220100 its reverse (102201010102), we get a palindrome (20203211230202).

The spelling of 20101010220100 in words is "twenty trillion, one hundred one billion, ten million, two hundred twenty thousand, one hundred".