100212102102123 has 96 divisors (see below), whose sum is σ = 168784393489920. Its totient is φ = 56620046330880.

The previous prime is 100212102102121. The next prime is 100212102102137. The reversal of 100212102102123 is 321201201212001.

100212102102123 is a `hidden beast` number, since 10 + 0 + 21 + 210 + 210 + 212 + 3 = 666.

It is not a de Polignac number, because 100212102102123 - 2¹ = 100212102102121 is a prime.

It is a super-2 number, since 2×100212102102123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212102102096 and 100212102102105.

It is not an unprimeable number, because it can be changed into a prime (100212102102121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1483293418 + ... + 1483360976.

It is an arithmetic number, because the mean of its divisors is an integer number (1758170765520).

Almost surely, 2^{100212102102123} is an apocalyptic number.

100212102102123 is a deficient number, since it is larger than the sum of its proper divisors (68572291387797).

100212102102123 is a wasteful number, since it uses less digits than its factorization.

100212102102123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75937 (or 75934 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100212102102123 its reverse (321201201212001), we get a palindrome (421413303314124).

The spelling of 100212102102123 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred two thousand, one hundred twenty-three".