1010012201120 has 192 divisors, whose sum is σ = 2643134022144. Its totient is φ = 362361323520.

The previous prime is 1010012201117. The next prime is 1010012201161. The reversal of 1010012201120 is 211022100101.

It is a super-2 number, since 2×1010012201120² (a number of 25 digits) contains 22 as substring.

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, 17232665 + ... + 17291175.

It is an arithmetic number, because the mean of its divisors is an integer number (13766323032).

Almost surely, 2^{1010012201120} is an apocalyptic number.

1010012201120 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 1010012201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321567011072).

1010012201120 is an abundant number, since it is smaller than the sum of its proper divisors (1633121821024).

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

1010012201120 is a wasteful number, since it uses less digits than its factorization.

1010012201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58775 (or 58767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010012201120 its reverse (211022100101), we get a palindrome (1221034301221).

The spelling of 1010012201120 in words is "one trillion, ten billion, twelve million, two hundred one thousand, one hundred twenty".