101020220220100 has 144 divisors (see below), whose sum is σ = 235604785328640. Its totient is φ = 37459357286400.

The previous prime is 101020220220091. The next prime is 101020220220103. The reversal of 101020220220100 is 1022022020101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101020220220103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 125004532 + ... + 125810068.

It is an arithmetic number, because the mean of its divisors is an integer number (1636144342560).

Almost surely, 2^{101020220220100} is an apocalyptic number.

101020220220100 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 101020220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117802392664320).

101020220220100 is an abundant number, since it is smaller than the sum of its proper divisors (134584565108540).

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

101020220220100 is a wasteful number, since it uses less digits than its factorization.

101020220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806678 (or 806671 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101020220220100 its reverse (1022022020101), we get a palindrome (102042242240201).

The spelling of 101020220220100 in words is "one hundred one trillion, twenty billion, two hundred twenty million, two hundred twenty thousand, one hundred".