10100002121210 has 16 divisors (see below), whose sum is σ = 18180047200392. Its totient is φ = 4039991208000.

The previous prime is 10100002121179. The next prime is 10100002121221. The reversal of 10100002121210 is 1212120000101.

It can be written as a sum of positive squares in 4 ways, for example, as 7098137478289 + 3001864642921 = 2664233^2 + 1732589^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100002121191 and 10100002121200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4466000 + ... + 6336020.

Almost surely, 2^{10100002121210} is an apocalyptic number.

10100002121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100002121210 is a deficient number, since it is larger than the sum of its proper divisors (8080045079182).

10100002121210 is a wasteful number, since it uses less digits than its factorization.

10100002121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410129.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100002121210 its reverse (1212120000101), we get a palindrome (11312122121311).

The spelling of 10100002121210 in words is "ten trillion, one hundred billion, two million, one hundred twenty-one thousand, two hundred ten".