100122021110010 has 128 divisors (see below), whose sum is σ = 258406235458560. Its totient is φ = 24736250778624.

The previous prime is 100122021109939. The next prime is 100122021110029. The reversal of 100122021110010 is 10011120221001.

It is a super-2 number, since 2×100122021110010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 47733921 + ... + 49787259.

It is an arithmetic number, because the mean of its divisors is an integer number (2018798714520).

Almost surely, 2^{100122021110010} is an apocalyptic number.

100122021110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122021110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129203117729280).

100122021110010 is an abundant number, since it is smaller than the sum of its proper divisors (158284214348550).

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

100122021110010 is a wasteful number, since it uses less digits than its factorization.

100122021110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054860.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100122021110010 its reverse (10011120221001), we get a palindrome (110133141331011).

The spelling of 100122021110010 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred ten thousand, ten".