20100211022100 has 576 divisors, whose sum is σ = 68127439564800. Its totient is φ = 4529102592000.

The previous prime is 20100211022083. The next prime is 20100211022153. The reversal of 20100211022100 is 122011200102.

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 191 ways as a sum of consecutive naturals, for example, 274335271 + ... + 274408529.

It is an arithmetic number, because the mean of its divisors is an integer number (118276804800).

Almost surely, 2^{20100211022100} is an apocalyptic number.

20100211022100 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 20100211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34063719782400).

20100211022100 is an abundant number, since it is smaller than the sum of its proper divisors (48027228542700).

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

20100211022100 is a wasteful number, since it uses less digits than its factorization.

20100211022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73424 (or 73417 counting only the distinct ones).

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

Adding to 20100211022100 its reverse (122011200102), we get a palindrome (20222222222202).

The spelling of 20100211022100 in words is "twenty trillion, one hundred billion, two hundred eleven million, twenty-two thousand, one hundred".