1020121011 has 36 divisors (see below), whose sum is σ = 1823532048. Its totient is φ = 538080192.

The previous prime is 1020121009. The next prime is 1020121013. The reversal of 1020121011 is 1101210201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020121009) and next prime (1020121013).

It is not a de Polignac number, because 1020121011 - 2¹ = 1020121009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020120984 and 1020121002.

It is not an unprimeable number, because it can be changed into a prime (1020121013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37260 + ... + 58553.

It is an arithmetic number, because the mean of its divisors is an integer number (50653668).

Almost surely, 2^1020121011 is an apocalyptic number.

1020121011 is a deficient number, since it is larger than the sum of its proper divisors (803411037).

1020121011 is a wasteful number, since it uses less digits than its factorization.

1020121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95852 (or 95836 counting only the distinct ones).

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

The square root of 1020121011 is about 31939.3332898481. Note that the first 3 decimals coincide. The cubic root of 1020121011 is about 1006.6625159666.

Adding to 1020121011 its reverse (1101210201), we get a palindrome (2121331212).

The spelling of 1020121011 in words is "one billion, twenty million, one hundred twenty-one thousand, eleven".