1011002121 has 32 divisors (see below), whose sum is σ = 1595733120. Its totient is φ = 630415872.

The previous prime is 1011002117. The next prime is 1011002123. The reversal of 1011002121 is 1212001101.

It is a happy number.

It is not a de Polignac number, because 1011002121 - 2² = 1011002117 is a prime.

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 (1011002123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68061 + ... + 81573.

It is an arithmetic number, because the mean of its divisors is an integer number (49866660).

Almost surely, 2^1011002121 is an apocalyptic number.

It is an amenable number.

1011002121 is a deficient number, since it is larger than the sum of its proper divisors (584730999).

1011002121 is a wasteful number, since it uses less digits than its factorization.

1011002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702 (or 13696 counting only the distinct ones).

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

The square root of 1011002121 is about 31796.2595441665. The cubic root of 1011002121 is about 1003.6540056469.

Adding to 1011002121 its reverse (1212001101), we get a palindrome (2223003222).

The spelling of 1011002121 in words is "one billion, eleven million, two thousand, one hundred twenty-one".