1020101010120 has 192 divisors, whose sum is σ = 3364968063600. Its totient is φ = 267963310080.

The previous prime is 1020101010043. The next prime is 1020101010157. The reversal of 1020101010120 is 210101010201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 561807213444 + 458293796676 = 749538^2 + 676974^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21236530 + ... + 21284510.

Almost surely, 2^{1020101010120} is an apocalyptic number.

1020101010120 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 1020101010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682484031800).

1020101010120 is an abundant number, since it is smaller than the sum of its proper divisors (2344867053480).

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

1020101010120 is a wasteful number, since it uses less digits than its factorization.

1020101010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48880 (or 48873 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020101010120 its reverse (210101010201), we get a palindrome (1230202020321).

The spelling of 1020101010120 in words is "one trillion, twenty billion, one hundred one million, ten thousand, one hundred twenty".