100100210000411 has 16 divisors (see below), whose sum is σ = 106495954111008. Its totient is φ = 93760897843200.

The previous prime is 100100210000359. The next prime is 100100210000419. The reversal of 100100210000411 is 114000012001001.

It is a cyclic number.

It is not a de Polignac number, because 100100210000411 - 2⁶ = 100100210000347 is a prime.

It is a super-4 number, since 4×100100210000411⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100210000392 and 100100210000401.

It is not an unprimeable number, because it can be changed into a prime (100100210000419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74202971 + ... + 75539931.

It is an arithmetic number, because the mean of its divisors is an integer number (6655997131938).

Almost surely, 2^{100100210000411} is an apocalyptic number.

100100210000411 is a deficient number, since it is larger than the sum of its proper divisors (6395744110597).

100100210000411 is a wasteful number, since it uses less digits than its factorization.

100100210000411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358062.

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

Adding to 100100210000411 its reverse (114000012001001), we get a palindrome (214100222001412).

The spelling of 100100210000411 in words is "one hundred trillion, one hundred billion, two hundred ten million, four hundred eleven", and thus it is an aban number.