10002121011 has 24 divisors (see below), whose sum is σ = 14805606816. Its totient is φ = 6502930560.

The previous prime is 10002121007. The next prime is 10002121027. The reversal of 10002121011 is 11012120001.

It is a happy number.

It is not a de Polignac number, because 10002121011 - 2² = 10002121007 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 = 10002120984 and 10002121002.

It is not an unprimeable number, because it can be changed into a prime (10002126011) 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 23 ways as a sum of consecutive naturals, for example, 1717741 + ... + 1723553.

It is an arithmetic number, because the mean of its divisors is an integer number (616900284).

Almost surely, 2^10002121011 is an apocalyptic number.

10002121011 is a deficient number, since it is larger than the sum of its proper divisors (4803485805).

10002121011 is a wasteful number, since it uses less digits than its factorization.

10002121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10520 counting only the distinct ones).

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

Adding to 10002121011 its reverse (11012120001), we get a palindrome (21014241012).

The spelling of 10002121011 in words is "ten billion, two million, one hundred twenty-one thousand, eleven".