102012020101120 has 104 divisors (see below), whose sum is σ = 245022985447416. Its totient is φ = 40767466242048.

The previous prime is 102012020101109. The next prime is 102012020101157. The reversal of 102012020101120 is 21101020210201.

It can be written as a sum of positive squares in 4 ways, for example, as 61408412667904 + 40603607433216 = 7836352^2 + 6372096^2 .

It is a super-2 number, since 2×102012020101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102012020101120.

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 7 ways as a sum of consecutive naturals, for example, 20106024 + ... + 24663256.

Almost surely, 2^{102012020101120} is an apocalyptic number.

102012020101120 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 102012020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122511492723708).

102012020101120 is an abundant number, since it is smaller than the sum of its proper divisors (143010965346296).

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

102012020101120 is an equidigital number, since it uses as much as digits as its factorization.

102012020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558355 (or 4558333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102012020101120 its reverse (21101020210201), we get a palindrome (123113040311321).

The spelling of 102012020101120 in words is "one hundred two trillion, twelve billion, twenty million, one hundred one thousand, one hundred twenty".