10002121000011 has 24 divisors (see below), whose sum is σ = 16564190071520. Its totient is φ = 5697237326976.

The previous prime is 10002120999989. The next prime is 10002121000033. The reversal of 10002121000011 is 11000012120001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10002120999989) and next prime (10002121000033).

It is not a de Polignac number, because 10002121000011 - 2⁶ = 10002120999947 is a prime.

It is a super-2 number, since 2×10002121000011² (a number of 27 digits) contains 22 as substring.

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 = 10002120999957 and 10002121000002.

It is not an unprimeable number, because it can be changed into a prime (10002121000051) 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, 253596616 + ... + 253636053.

Almost surely, 2^{10002121000011} is an apocalyptic number.

10002121000011 is a deficient number, since it is larger than the sum of its proper divisors (6562069071509).

10002121000011 is a wasteful number, since it uses less digits than its factorization.

10002121000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507232995 (or 507232992 counting only the distinct ones).

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

Adding to 10002121000011 its reverse (11000012120001), we get a palindrome (21002133120012).

The spelling of 10002121000011 in words is "ten trillion, two billion, one hundred twenty-one million, eleven", and thus it is an aban number.