100111022021010 has 512 divisors, whose sum is σ = 324466008588288. Its totient is φ = 19091003166720.

The previous prime is 100111022020957. The next prime is 100111022021029. The reversal of 100111022021010 is 10120220111001.

It is a super-2 number, since 2×100111022021010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5337252552 + ... + 5337271308.

It is an arithmetic number, because the mean of its divisors is an integer number (633722673024).

Almost surely, 2^{100111022021010} is an apocalyptic number.

100111022021010 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 100111022021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162233004294144).

100111022021010 is an abundant number, since it is smaller than the sum of its proper divisors (224354986567278).

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

100111022021010 is a wasteful number, since it uses less digits than its factorization.

100111022021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19818.

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

Adding to 100111022021010 its reverse (10120220111001), we get a palindrome (110231242132011).

It can be divided in two parts, 1001 and 11022021010, that added together give a palindrome (11022022011).

The spelling of 100111022021010 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, twenty-one thousand, ten".