20101020122100 has 288 divisors, whose sum is σ = 60587245918080. Its totient is φ = 5139107850240.

The previous prime is 20101020122089. The next prime is 20101020122119. The reversal of 20101020122100 is 122102010102.

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 95 ways as a sum of consecutive naturals, for example, 2604767442 + ... + 2604775158.

It is an arithmetic number, because the mean of its divisors is an integer number (210372381660).

Almost surely, 2^{20101020122100} is an apocalyptic number.

20101020122100 is a gapful number since it is divisible by the number (20) 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 20101020122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30293622959040).

20101020122100 is an abundant number, since it is smaller than the sum of its proper divisors (40486225795980).

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

20101020122100 is a wasteful number, since it uses less digits than its factorization.

20101020122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9820 counting only the distinct ones).

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

Adding to 20101020122100 its reverse (122102010102), we get a palindrome (20223122132202).

The spelling of 20101020122100 in words is "twenty trillion, one hundred one billion, twenty million, one hundred twenty-two thousand, one hundred".