102121002100002 has 8 divisors (see below), whose sum is σ = 204242004200016. Its totient is φ = 34040334033332.

The previous prime is 102121002100001. The next prime is 102121002100003. The reversal of 102121002100002 is 200001200121201.

It is an interprime number because it is at equal distance from previous prime (102121002100001) and next prime (102121002100003).

It is a sphenic number, since it is the product of 3 distinct primes.

102121002100002 is an admirable number.

It is a super-2 number, since 2×102121002100002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121002100001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8510083508328 + ... + 8510083508339.

It is an arithmetic number, because the mean of its divisors is an integer number (25530250525002).

Almost surely, 2^{102121002100002} is an apocalyptic number.

102121002100002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121002100002 is a wasteful number, since it uses less digits than its factorization.

102121002100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020167016672.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102121002100002 its reverse (200001200121201), we get a palindrome (302122202221203).

The spelling of 102121002100002 in words is "one hundred two trillion, one hundred twenty-one billion, two million, one hundred thousand, two".