101022020210320 has 80 divisors (see below), whose sum is σ = 257140424638080. Its totient is φ = 36604549452800.

The previous prime is 101022020210269. The next prime is 101022020210329. The reversal of 101022020210320 is 23012020220101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101022020210294 and 101022020210303.

It is not an unprimeable number, because it can be changed into a prime (101022020210329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204019180 + ... + 204513739.

It is an arithmetic number, because the mean of its divisors is an integer number (3214255307976).

Almost surely, 2^{101022020210320} is an apocalyptic number.

101022020210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022020210320 is an abundant number, since it is smaller than the sum of its proper divisors (156118404427760).

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

101022020210320 is a wasteful number, since it uses less digits than its factorization.

101022020210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408533224 (or 408533218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101022020210320 its reverse (23012020220101), we get a palindrome (124034040430421).

The spelling of 101022020210320 in words is "one hundred one trillion, twenty-two billion, twenty million, two hundred ten thousand, three hundred twenty".