100210102021121 has 8 divisors (see below), whose sum is σ = 105085699807080. Its totient is φ = 95429176036992.

The previous prime is 100210102021111. The next prime is 100210102021223. The reversal of 100210102021121 is 121120201012001.

It can be written as a sum of positive squares in 4 ways, for example, as 13018133044225 + 87191968976896 = 3608065^2 + 9337664^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100210102021121 - 2³⁴ = 100192922151937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210102021096 and 100210102021105.

It is not an unprimeable number, because it can be changed into a prime (100210102021111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23667948290 + ... + 23667952523.

It is an arithmetic number, because the mean of its divisors is an integer number (13135712475885).

Almost surely, 2^{100210102021121} is an apocalyptic number.

It is an amenable number.

100210102021121 is a deficient number, since it is larger than the sum of its proper divisors (4875597785959).

100210102021121 is an equidigital number, since it uses as much as digits as its factorization.

100210102021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47335900915.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210102021121 its reverse (121120201012001), we get a palindrome (221330303033122).

The spelling of 100210102021121 in words is "one hundred trillion, two hundred ten billion, one hundred two million, twenty-one thousand, one hundred twenty-one".