100210102032031 has 8 divisors (see below), whose sum is σ = 103169652776960. Its totient is φ = 97279145980632.

The previous prime is 100210102031981. The next prime is 100210102032101. The reversal of 100210102032031 is 130230201012001.

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 100210102032031 - 2¹⁵ = 100210101999263 is a prime.

It is a super-2 number, since 2×100210102032031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210102031996 and 100210102032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210102032331) 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, 7148666271 + ... + 7148680288.

It is an arithmetic number, because the mean of its divisors is an integer number (12896206597120).

Almost surely, 2^{100210102032031} is an apocalyptic number.

100210102032031 is a deficient number, since it is larger than the sum of its proper divisors (2959550744929).

100210102032031 is a wasteful number, since it uses less digits than its factorization.

100210102032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14297346765.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100210102032031 its reverse (130230201012001), we get a palindrome (230440303044032).

The spelling of 100210102032031 in words is "one hundred trillion, two hundred ten billion, one hundred two million, thirty-two thousand, thirty-one".