10220011020100 has 72 divisors (see below), whose sum is σ = 25478327282688. Its totient is φ = 3485658163200.

The previous prime is 10220011020097. The next prime is 10220011020113. The reversal of 10220011020100 is 102011002201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38086237 + ... + 38353636.

It is an arithmetic number, because the mean of its divisors is an integer number (353865656704).

Almost surely, 2^{10220011020100} is an apocalyptic number.

10220011020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220011020100 is an abundant number, since it is smaller than the sum of its proper divisors (15258316262588).

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

10220011020100 is a wasteful number, since it uses less digits than its factorization.

10220011020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76440085 (or 76440078 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220011020100 its reverse (102011002201), we get a palindrome (10322022022301).

The spelling of 10220011020100 in words is "ten trillion, two hundred twenty billion, eleven million, twenty thousand, one hundred".