100002121011 has 24 divisors (see below), whose sum is σ = 155575427280. Its totient is φ = 61533210816.

The previous prime is 100002120991. The next prime is 100002121027. The reversal of 100002121011 is 110121200001.

It is a happy number.

It is not a de Polignac number, because 100002121011 - 2¹⁴ = 100002104627 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 = 100002120984 and 100002121002.

It is not an unprimeable number, because it can be changed into a prime (100002121031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203145 + ... + 1283573.

It is an arithmetic number, because the mean of its divisors is an integer number (6482309470).

Almost surely, 2^100002121011 is an apocalyptic number.

100002121011 is a deficient number, since it is larger than the sum of its proper divisors (55573306269).

100002121011 is a wasteful number, since it uses less digits than its factorization.

100002121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91075 (or 91072 counting only the distinct ones).

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

Adding to 100002121011 its reverse (110121200001), we get a palindrome (210123321012).

The spelling of 100002121011 in words is "one hundred billion, two million, one hundred twenty-one thousand, eleven".