100201001011122 has 512 divisors, whose sum is σ = 250484762050560. Its totient is φ = 26358456320000.

The previous prime is 100201001011121. The next prime is 100201001011127. The reversal of 100201001011122 is 221110100102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201001011098 and 100201001011107.

It is not an unprimeable number, because it can be changed into a prime (100201001011121) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 10966505338 + ... + 10966514474.

It is an arithmetic number, because the mean of its divisors is an integer number (489228050880).

Almost surely, 2^{100201001011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201001011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125242381025280).

100201001011122 is an abundant number, since it is smaller than the sum of its proper divisors (150283761039438).

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

100201001011122 is a wasteful number, since it uses less digits than its factorization.

100201001011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100201001011122 its reverse (221110100102001), we get a palindrome (321311101113123).

The spelling of 100201001011122 in words is "one hundred trillion, two hundred one billion, one million, eleven thousand, one hundred twenty-two".