100201211021120 has 224 divisors, whose sum is σ = 274213037145600. Its totient is φ = 34491630643200.

The previous prime is 100201211021113. The next prime is 100201211021167. The reversal of 100201211021120 is 21120112102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201211021095 and 100201211021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83606915 + ... + 84796925.

It is an arithmetic number, because the mean of its divisors is an integer number (1224165344400).

Almost surely, 2^{100201211021120} is an apocalyptic number.

100201211021120 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 100201211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137106518572800).

100201211021120 is an abundant number, since it is smaller than the sum of its proper divisors (174011826124480).

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

100201211021120 is a wasteful number, since it uses less digits than its factorization.

100201211021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191317 (or 1191307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100201211021120 its reverse (21120112102001), we get a palindrome (121321323123121).

The spelling of 100201211021120 in words is "one hundred trillion, two hundred one billion, two hundred eleven million, twenty-one thousand, one hundred twenty".