1010120022121 has 12 divisors (see below), whose sum is σ = 1191133986132. Its totient is φ = 853956649728.

The previous prime is 1010120022101. The next prime is 1010120022137. The reversal of 1010120022121 is 1212200210101.

It can be written as a sum of positive squares in 2 ways, for example, as 329693007721 + 680427014400 = 574189^2 + 824880^2 .

It is not a de Polignac number, because 1010120022121 - 2⁵ = 1010120022089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010120022101) 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, 141192960 + ... + 141200113.

It is an arithmetic number, because the mean of its divisors is an integer number (99261165511).

Almost surely, 2^{1010120022121} is an apocalyptic number.

It is an amenable number.

1010120022121 is a deficient number, since it is larger than the sum of its proper divisors (181013964011).

1010120022121 is an equidigital number, since it uses as much as digits as its factorization.

1010120022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282393160 (or 282393153 counting only the distinct ones).

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

Adding to 1010120022121 its reverse (1212200210101), we get a palindrome (2222320232222).

The spelling of 1010120022121 in words is "one trillion, ten billion, one hundred twenty million, twenty-two thousand, one hundred twenty-one".