10022101110100 has 36 divisors (see below), whose sum is σ = 21754243881468. Its totient is φ = 4007682016000.

The previous prime is 10022101110059. The next prime is 10022101110101. The reversal of 10022101110100 is 101110122001.

It can be written as a sum of positive squares in 6 ways, for example, as 3152428658064 + 6869672452036 = 1775508^2 + 2621006^2 .

It is a super-2 number, since 2×10022101110100² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022101110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14132521 + ... + 14824720.

It is an arithmetic number, because the mean of its divisors is an integer number (604284552263).

Almost surely, 2^{10022101110100} is an apocalyptic number.

10022101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022101110100 is an abundant number, since it is smaller than the sum of its proper divisors (11732142771368).

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

10022101110100 is a wasteful number, since it uses less digits than its factorization.

10022101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28960716 (or 28960709 counting only the distinct ones).

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

Adding to 10022101110100 its reverse (101110122001), we get a palindrome (10123211232101).

The spelling of 10022101110100 in words is "ten trillion, twenty-two billion, one hundred one million, one hundred ten thousand, one hundred".