10100002121 has 64 divisors (see below), whose sum is σ = 12436623360. Its totient is φ = 8094240000.

The previous prime is 10100002117. The next prime is 10100002139. The reversal of 10100002121 is 12120000101.

It is not a de Polignac number, because 10100002121 - 2² = 10100002117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100002099 and 10100002108.

It is not an unprimeable number, because it can be changed into a prime (10100002181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34470851 + ... + 34471143.

It is an arithmetic number, because the mean of its divisors is an integer number (194322240).

Almost surely, 2^10100002121 is an apocalyptic number.

10100002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100002121 is a deficient number, since it is larger than the sum of its proper divisors (2336621239).

10100002121 is a wasteful number, since it uses less digits than its factorization.

10100002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100002121 its reverse (12120000101), we get a palindrome (22220002222).

The spelling of 10100002121 in words is "ten billion, one hundred million, two thousand, one hundred twenty-one".