10020110222100 has 576 divisors, whose sum is σ = 32319521418240. Its totient is φ = 2376691200000.

The previous prime is 10020110222081. The next prime is 10020110222113. The reversal of 10020110222100 is 122201102001.

It is a super-2 number, since 2×10020110222100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14500882755 + ... + 14500883445.

It is an arithmetic number, because the mean of its divisors is an integer number (56110280240).

Almost surely, 2^{10020110222100} is an apocalyptic number.

10020110222100 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 10020110222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159760709120).

10020110222100 is an abundant number, since it is smaller than the sum of its proper divisors (22299411196140).

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

10020110222100 is a wasteful number, since it uses less digits than its factorization.

10020110222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020110222100 its reverse (122201102001), we get a palindrome (10142311324101).

It can be divided in two parts, 100201 and 10222100, that added together give a palindrome (10322301).

The spelling of 10020110222100 in words is "ten trillion, twenty billion, one hundred ten million, two hundred twenty-two thousand, one hundred".