1010121120 has 72 divisors (see below), whose sum is σ = 3447043236. Its totient is φ = 269365248.

The previous prime is 1010121037. The next prime is 1010121121. The reversal of 1010121120 is 211210101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 975687696 + 34433424 = 31236^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1010121121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349297 + ... + 352176.

Almost surely, 2^1010121120 is an apocalyptic number.

1010121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010121120 is an abundant number, since it is smaller than the sum of its proper divisors (2436922116).

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

1010121120 is a wasteful number, since it uses less digits than its factorization.

1010121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701494 (or 701483 counting only the distinct ones).

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

The square root of 1010121120 is about 31782.4026782117. The cubic root of 1010121120 is about 1003.3623883400.

Adding to 1010121120 its reverse (211210101), we get a palindrome (1221331221).

The spelling of 1010121120 in words is "one billion, ten million, one hundred twenty-one thousand, one hundred twenty".