201122102100 has 288 divisors, whose sum is σ = 614585664000. Its totient is φ = 50710302720.

The previous prime is 201122102087. The next prime is 201122102141. The reversal of 201122102100 is 1201221102.

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, 84397509 + ... + 84399891.

It is an arithmetic number, because the mean of its divisors is an integer number (2133978000).

Almost surely, 2^201122102100 is an apocalyptic number.

201122102100 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 201122102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307292832000).

201122102100 is an abundant number, since it is smaller than the sum of its proper divisors (413463561900).

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

201122102100 is a wasteful number, since it uses less digits than its factorization.

201122102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2620 counting only the distinct ones).

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

Adding to 201122102100 its reverse (1201221102), we get a palindrome (202323323202).

It can be divided in two parts, 20112 and 2102100, that added together give a palindrome (2122212).

The spelling of 201122102100 in words is "two hundred one billion, one hundred twenty-two million, one hundred two thousand, one hundred".