100210111122220 has 192 divisors, whose sum is σ = 247833398615040. Its totient is φ = 33651153536000.

The previous prime is 100210111122217. The next prime is 100210111122227. The reversal of 100210111122220 is 22221111012001.

It is a super-2 number, since 2×100210111122220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210111122194 and 100210111122203.

It is not an unprimeable number, because it can be changed into a prime (100210111122227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3206400114 + ... + 3206431366.

It is an arithmetic number, because the mean of its divisors is an integer number (1290798951120).

Almost surely, 2^{100210111122220} is an apocalyptic number.

100210111122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210111122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123916699307520).

100210111122220 is an abundant number, since it is smaller than the sum of its proper divisors (147623287492820).

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

100210111122220 is a wasteful number, since it uses less digits than its factorization.

100210111122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53176 (or 53174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100210111122220 its reverse (22221111012001), we get a palindrome (122431222134221).

The spelling of 100210111122220 in words is "one hundred trillion, two hundred ten billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twenty".