101020122020100 has 576 divisors, whose sum is σ = 306436466810880. Its totient is φ = 25674846566400.

The previous prime is 101020122020063. The next prime is 101020122020123. The reversal of 101020122020100 is 1020221020101.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 39787364631 + ... + 39787367169.

It is an arithmetic number, because the mean of its divisors is an integer number (532007754880).

Almost surely, 2^{101020122020100} is an apocalyptic number.

101020122020100 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 101020122020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153218233405440).

101020122020100 is an abundant number, since it is smaller than the sum of its proper divisors (205416344790780).

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

101020122020100 is a wasteful number, since it uses less digits than its factorization.

101020122020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3101 counting only the distinct ones).

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

Adding to 101020122020100 its reverse (1020221020101), we get a palindrome (102040343040201).

Subtracting from 101020122020100 its reverse (1020221020101), we obtain a palindrome (99999900999999).

The spelling of 101020122020100 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, twenty thousand, one hundred".