100201001120 has 192 divisors, whose sum is σ = 266887716480. Its totient is φ = 35234304000.

The previous prime is 100201001113. The next prime is 100201001161. The reversal of 100201001120 is 21100102001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100201001098 and 100201001107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7637126 + ... + 7650234.

It is an arithmetic number, because the mean of its divisors is an integer number (1390040190).

Almost surely, 2^100201001120 is an apocalyptic number.

100201001120 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 100201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133443858240).

100201001120 is an abundant number, since it is smaller than the sum of its proper divisors (166686715360).

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

100201001120 is a wasteful number, since it uses less digits than its factorization.

100201001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13279 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201001120 its reverse (21100102001), we get a palindrome (121301103121).

The spelling of 100201001120 in words is "one hundred billion, two hundred one million, one thousand, one hundred twenty".